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4949522640 = 243257394169
BaseRepresentation
bin1001001110000001…
…11011100011010000
3110202221101210122100
410213000323203100
540114034211030
62135045240400
7233440151106
oct44700734320
913687353570
104949522640
11210a970687
12b61703100
1360b56712a
1434d4c1c76
151de7d5360
hex12703b8d0

4949522640 has 120 divisors (see below), whose sum is σ = 16850026440. Its totient is φ = 1301778432.

The previous prime is 4949522639. The next prime is 4949522653. The reversal of 4949522640 is 462259494.

4949522640 is a `hidden beast` number, since 49 + 49 + 522 + 6 + 40 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 173606976 + 4775915664 = 13176^2 + 69108^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5476 + ... + 99644.

It is an arithmetic number, because the mean of its divisors is an integer number (140416887).

Almost surely, 24949522640 is an apocalyptic number.

4949522640 is a gapful number since it is divisible by the number (40) 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 4949522640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8425013220).

4949522640 is an abundant number, since it is smaller than the sum of its proper divisors (11900503800).

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

4949522640 is a wasteful number, since it uses less digits than its factorization.

4949522640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94261 (or 94252 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The square root of 4949522640 is about 70352.8438657600. The cubic root of 4949522640 is about 1704.2021349842.

The spelling of 4949522640 in words is "four billion, nine hundred forty-nine million, five hundred twenty-two thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 73 80 90 120 144 146 180 219 240 292 360 365 438 584 657 720 730 876 1095 1168 1314 1460 1752 2190 2628 2920 3285 3504 4380 5256 5840 6570 8760 10512 13140 17520 26280 52560 94169 188338 282507 376676 470845 565014 753352 847521 941690 1130028 1412535 1506704 1695042 1883380 2260056 2825070 3390084 3766760 4237605 4520112 5650140 6780168 6874337 7533520 8475210 11300280 13560336 13748674 16950420 20623011 22600560 27497348 33900840 34371685 41246022 54994696 61869033 67801680 68743370 82492044 103115055 109989392 123738066 137486740 164984088 206230110 247476132 274973480 309345165 329968176 412460220 494952264 549946960 618690330 824920440 989904528 1237380660 1649840880 2474761320 4949522640