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252389952 = 2633146059
BaseRepresentation
bin11110000101100…
…10101001000000
3122120220201221000
433002302221000
51004102434302
641013332000
76153164523
oct1702625100
9576821830
10252389952
1111a516341
1270637000
134039b489
142573cbba
151725731c
hexf0b2a40

252389952 has 56 divisors (see below), whose sum is σ = 741984800. Its totient is φ = 84129408.

The previous prime is 252389933. The next prime is 252389959. The reversal of 252389952 is 259983252.

It is a junction number, because it is equal to n+sod(n) for n = 252389898 and 252389907.

It is not an unprimeable number, because it can be changed into a prime (252389959) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 71302 + ... + 74757.

Almost surely, 2252389952 is an apocalyptic number.

It is an amenable number.

252389952 is an abundant number, since it is smaller than the sum of its proper divisors (489594848).

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

252389952 is a wasteful number, since it uses less digits than its factorization.

252389952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146080 (or 146064 counting only the distinct ones).

The product of its digits is 388800, while the sum is 45.

The square root of 252389952 is about 15886.7854520668. The cubic root of 252389952 is about 631.9615957009.

The spelling of 252389952 in words is "two hundred fifty-two million, three hundred eighty-nine thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 144 192 216 288 432 576 864 1728 146059 292118 438177 584236 876354 1168472 1314531 1752708 2336944 2629062 3505416 3943593 4673888 5258124 7010832 7887186 9347776 10516248 14021664 15774372 21032496 28043328 31548744 42064992 63097488 84129984 126194976 252389952