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2479179252 = 2231118781661
BaseRepresentation
bin1001001111000101…
…0100010111110100
320101210000100120210
42103301110113310
520034132214002
61050001225420
7115302450564
oct22361242764
96353010523
102479179252
111062483080
12592332270
1330681c594
14197390da4
15e79b696c
hex93c545f4

2479179252 has 24 divisors (see below), whose sum is σ = 6310638432. Its totient is φ = 751266400.

The previous prime is 2479179221. The next prime is 2479179257. The reversal of 2479179252 is 2529719742.

2479179252 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×24791792522 = 12292659527094559008, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2479179257) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9390699 + ... + 9390962.

It is an arithmetic number, because the mean of its divisors is an integer number (262943268).

Almost surely, 22479179252 is an apocalyptic number.

2479179252 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

2479179252 is an abundant number, since it is smaller than the sum of its proper divisors (3831459180).

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

2479179252 is a wasteful number, since it uses less digits than its factorization.

2479179252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18781679 (or 18781677 counting only the distinct ones).

The product of its digits is 635040, while the sum is 48.

The square root of 2479179252 is about 49791.3572018277. The cubic root of 2479179252 is about 1353.4305529798.

The spelling of 2479179252 in words is "two billion, four hundred seventy-nine million, one hundred seventy-nine thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 18781661 37563322 56344983 75126644 112689966 206598271 225379932 413196542 619794813 826393084 1239589626 2479179252