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252496164 = 22359715023
BaseRepresentation
bin11110000110011…
…00100100100100
3122121010010121210
433003030210210
51004114334124
641015511420
76154116264
oct1703144444
9577103553
10252496164
1111a589118
1270688570
134040791b
14257697a4
1517278a29
hexf0cc924

252496164 has 48 divisors (see below), whose sum is σ = 607703040. Its totient is φ = 81557280.

The previous prime is 252496117. The next prime is 252496183. The reversal of 252496164 is 461694252.

It is a happy number.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

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, 47757 + ... + 52779.

It is an arithmetic number, because the mean of its divisors is an integer number (12660480).

Almost surely, 2252496164 is an apocalyptic number.

It is an amenable number.

252496164 is an abundant number, since it is smaller than the sum of its proper divisors (355206876).

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

252496164 is a wasteful number, since it uses less digits than its factorization.

252496164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5160 (or 5158 counting only the distinct ones).

The product of its digits is 103680, while the sum is 39.

The square root of 252496164 is about 15890.1278786547. The cubic root of 252496164 is about 632.0502316802.

It can be divided in two parts, 25249 and 6164, that added together give a palindrome (31413).

The spelling of 252496164 in words is "two hundred fifty-two million, four hundred ninety-six thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 12 59 71 118 142 177 213 236 284 354 426 708 852 4189 5023 8378 10046 12567 15069 16756 20092 25134 30138 50268 60276 296357 356633 592714 713266 889071 1069899 1185428 1426532 1778142 2139798 3556284 4279596 21041347 42082694 63124041 84165388 126248082 252496164