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252190656 = 26323671193
BaseRepresentation
bin11110000100000…
…01111111000000
3122120112121112200
433002001333000
51004030100111
641005153200
76151404504
oct1702017700
9576477480
10252190656
1111a39a633
127055b800
134032b853
14256ca304
1517218256
hexf081fc0

252190656 has 84 divisors (see below), whose sum is σ = 725436192. Its totient is φ = 83764224.

The previous prime is 252190643. The next prime is 252190661. The reversal of 252190656 is 656091252.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 252190656.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 210796 + ... + 211988.

Almost surely, 2252190656 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 252190656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (362718096).

252190656 is an abundant number, since it is smaller than the sum of its proper divisors (473245536).

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

252190656 is a wasteful number, since it uses less digits than its factorization.

252190656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1578 (or 1565 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 252190656 is about 15880.5118305425. The cubic root of 252190656 is about 631.7952121839.

The spelling of 252190656 in words is "two hundred fifty-two million, one hundred ninety thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 367 576 734 1101 1193 1468 2202 2386 2936 3303 3579 4404 4772 5872 6606 7158 8808 9544 10737 11744 13212 14316 17616 19088 21474 23488 26424 28632 35232 38176 42948 52848 57264 70464 76352 85896 105696 114528 171792 211392 229056 343584 437831 687168 875662 1313493 1751324 2626986 3502648 3940479 5253972 7005296 7880958 10507944 14010592 15761916 21015888 28021184 31523832 42031776 63047664 84063552 126095328 252190656