Search a number
-
+
3131249376 = 253412413301
BaseRepresentation
bin1011101010100011…
…0001001011100000
322002012222221122010
42322220301023200
522403044440001
61234413312520
7140411115633
oct27250611340
98065887563
103131249376
111367566002
12734795740
133ab9498a8
14219c0dc1a
15134d6c8d6
hexbaa312e0

3131249376 has 96 divisors (see below), whose sum is σ = 8457505056. Its totient is φ = 1013760000.

The previous prime is 3131249351. The next prime is 3131249383. The reversal of 3131249376 is 6739421313.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 946926 + ... + 950226.

It is an arithmetic number, because the mean of its divisors is an integer number (88099011).

Almost surely, 23131249376 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3131249376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4228752528).

3131249376 is an abundant number, since it is smaller than the sum of its proper divisors (5326255680).

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

3131249376 is a wasteful number, since it uses less digits than its factorization.

3131249376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3596 (or 3588 counting only the distinct ones).

The product of its digits is 81648, while the sum is 39.

The square root of 3131249376 is about 55957.5676383454. The cubic root of 3131249376 is about 1462.9827954434.

The spelling of 3131249376 in words is "three billion, one hundred thirty-one million, two hundred forty-nine thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 41 48 82 96 123 164 241 246 328 482 492 656 723 964 984 1312 1446 1928 1968 2892 3301 3856 3936 5784 6602 7712 9881 9903 11568 13204 19762 19806 23136 26408 29643 39524 39612 52816 59286 79048 79224 105632 118572 135341 158096 158448 237144 270682 316192 316896 406023 474288 541364 795541 812046 948576 1082728 1591082 1624092 2165456 2386623 3182164 3248184 4330912 4773246 6364328 6496368 9546492 12728656 12992736 19092984 25457312 32617181 38185968 65234362 76371936 97851543 130468724 195703086 260937448 391406172 521874896 782812344 1043749792 1565624688 3131249376