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2749004640 = 253256728493
BaseRepresentation
bin1010001111011010…
…0111101101100000
321002120201220102200
42203312213231200
521112221122030
61132440413200
7125060103534
oct24366475540
97076656380
102749004640
111190817968
12648777200
1334a6b3a85
141c114bbc4
15111514d60
hexa3da7b60

2749004640 has 144 divisors (see below), whose sum is σ = 9521327088. Its totient is φ = 722101248.

The previous prime is 2749004611. The next prime is 2749004647. The reversal of 2749004640 is 464009472.

2749004640 is a `hidden beast` number, since 2 + 7 + 4 + 9 + 0 + 0 + 4 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2749004595 and 2749004604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2749004647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 82234 + ... + 110726.

It is an arithmetic number, because the mean of its divisors is an integer number (66120327).

Almost surely, 22749004640 is an apocalyptic number.

2749004640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2749004640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4760663544).

2749004640 is an abundant number, since it is smaller than the sum of its proper divisors (6772322448).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2749004640 is a wasteful number, since it uses less digits than its factorization.

2749004640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28581 (or 28570 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 2749004640 is about 52430.9511643647. The cubic root of 2749004640 is about 1400.8506123318.

The spelling of 2749004640 in words is "two billion, seven hundred forty-nine million, four thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 67 72 80 90 96 120 134 144 160 180 201 240 268 288 335 360 402 480 536 603 670 720 804 1005 1072 1206 1340 1440 1608 2010 2144 2412 2680 3015 3216 4020 4824 5360 6030 6432 8040 9648 10720 12060 16080 19296 24120 28493 32160 48240 56986 85479 96480 113972 142465 170958 227944 256437 284930 341916 427395 455888 512874 569860 683832 854790 911776 1025748 1139720 1282185 1367664 1709580 1909031 2051496 2279440 2564370 2735328 3419160 3818062 4102992 4558880 5128740 5727093 6838320 7636124 8205984 9545155 10257480 11454186 13676640 15272248 17181279 19090310 20514960 22908372 28635465 30544496 34362558 38180620 41029920 45816744 57270930 61088992 68725116 76361240 85906395 91633488 114541860 137450232 152722480 171812790 183266976 229083720 274900464 305444960 343625580 458167440 549800928 687251160 916334880 1374502320 2749004640