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523126164 = 22311191671249
BaseRepresentation
bin11111001011100…
…100010110010100
31100110100120012010
4133023210112110
52032410014124
6123524224220
715651333111
oct3713442624
91313316163
10523126164
11249322480
1212723b070
13844c1412
144d695908
1530dd5529
hex1f2e4594

523126164 has 96 divisors (see below), whose sum is σ = 1411200000. Its totient is φ = 149160960.

The previous prime is 523126117. The next prime is 523126171. The reversal of 523126164 is 461621325.

It is a super-2 number, since 2×5231261642 = 547321966922709792, which contains 22 as substring.

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, 418212 + ... + 419460.

It is an arithmetic number, because the mean of its divisors is an integer number (14700000).

Almost surely, 2523126164 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 523126164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (705600000).

523126164 is an abundant number, since it is smaller than the sum of its proper divisors (888073836).

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

523126164 is a wasteful number, since it uses less digits than its factorization.

523126164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1453 (or 1451 counting only the distinct ones).

The product of its digits is 8640, while the sum is 30.

The square root of 523126164 is about 22871.9514689936. The cubic root of 523126164 is about 805.7534008653.

Adding to 523126164 its reverse (461621325), we get a palindrome (984747489).

It can be divided in two parts, 5231261 and 64, that added together give a palindrome (5231325).

The spelling of 523126164 in words is "five hundred twenty-three million, one hundred twenty-six thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 11 12 19 22 33 38 44 57 66 76 114 132 167 209 228 334 418 501 627 668 836 1002 1249 1254 1837 2004 2498 2508 3173 3674 3747 4996 5511 6346 7348 7494 9519 11022 12692 13739 14988 19038 22044 23731 27478 34903 38076 41217 47462 54956 69806 71193 82434 94924 104709 139612 142386 164868 208583 209418 261041 284772 417166 418836 522082 625749 783123 834332 1044164 1251498 1566246 2294413 2502996 3132492 3963077 4588826 6883239 7926154 9177652 11889231 13766478 15852308 23778462 27532956 43593847 47556924 87187694 130781541 174375388 261563082 523126164