Search a number
-
+
2489762940 = 2235712174871
BaseRepresentation
bin1001010001100110…
…1100010001111100
320102111221001200020
42110121230101330
520044334403230
61051020132140
7115461431040
oct22431542174
96374831606
102489762940
111068451825
12595997050
13308a86a12
14198948020
15e88a7810
hex9466c47c

2489762940 has 96 divisors (see below), whose sum is σ = 7975425024. Its totient is φ = 568504320.

The previous prime is 2489762917. The next prime is 2489762959. The reversal of 2489762940 is 492679842.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 508705 + ... + 513575.

It is an arithmetic number, because the mean of its divisors is an integer number (83077344).

Almost surely, 22489762940 is an apocalyptic number.

2489762940 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 2489762940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3987712512).

2489762940 is an abundant number, since it is smaller than the sum of its proper divisors (5485662084).

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

2489762940 is a wasteful number, since it uses less digits than its factorization.

2489762940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6107 (or 6105 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 51.

The square root of 2489762940 is about 49897.5243874884. The cubic root of 2489762940 is about 1355.3537635610.

The spelling of 2489762940 in words is "two billion, four hundred eighty-nine million, seven hundred sixty-two thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 420 1217 2434 3651 4868 4871 6085 7302 8519 9742 12170 14604 14613 17038 18255 19484 24340 24355 25557 29226 34076 34097 36510 42595 48710 51114 58452 68194 73020 73065 85190 97420 102228 102291 127785 136388 146130 170380 170485 204582 255570 292260 340970 409164 511140 511455 681940 1022910 2045820 5928007 11856014 17784021 23712028 29640035 35568042 41496049 59280070 71136084 82992098 88920105 118560140 124488147 165984196 177840210 207480245 248976294 355680420 414960490 497952588 622440735 829920980 1244881470 2489762940