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252593664 = 293164449
BaseRepresentation
bin11110000111001…
…00011000000000
3122121022002100220
433003210120000
51004130444124
641021543040
76155003451
oct1703443000
9577262326
10252593664
1111a6453a4
1270714a80
134044010b
1425793128
1517297879
hexf0e4600

252593664 has 40 divisors (see below), whose sum is σ = 672929400. Its totient is φ = 84197376.

The previous prime is 252593639. The next prime is 252593699. The reversal of 252593664 is 466395252.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 80689 + ... + 83760.

It is an arithmetic number, because the mean of its divisors is an integer number (16823235).

Almost surely, 2252593664 is an apocalyptic number.

252593664 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

252593664 is an abundant number, since it is smaller than the sum of its proper divisors (420335736).

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

252593664 is an equidigital number, since it uses as much as digits as its factorization.

252593664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164470 (or 164454 counting only the distinct ones).

The product of its digits is 388800, while the sum is 42.

The square root of 252593664 is about 15893.1955251296. The cubic root of 252593664 is about 632.1315754470.

The spelling of 252593664 in words is "two hundred fifty-two million, five hundred ninety-three thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 768 1536 164449 328898 493347 657796 986694 1315592 1973388 2631184 3946776 5262368 7893552 10524736 15787104 21049472 31574208 42098944 63148416 84197888 126296832 252593664