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252074432 = 2659241277
BaseRepresentation
bin11110000011001…
…01100111000000
3122120022201010002
433001211213000
51004012340212
641002455132
76150411611
oct1701454700
9576281102
10252074432
1111a320285
12705044a8
13402ba98c
1425699c08
15171e3ac2
hexf0659c0

252074432 has 56 divisors (see below), whose sum is σ = 512643120. Its totient is φ = 122941440.

The previous prime is 252074393. The next prime is 252074441. The reversal of 252074432 is 234470252.

It is a junction number, because it is equal to n+sod(n) for n = 252074395 and 252074404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 909878 + ... + 910154.

Almost surely, 2252074432 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 252074432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256321560).

252074432 is an abundant number, since it is smaller than the sum of its proper divisors (260568688).

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

252074432 is a wasteful number, since it uses less digits than its factorization.

252074432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 589 (or 579 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 29.

The square root of 252074432 is about 15876.8520809385. The cubic root of 252074432 is about 631.6981413791.

The spelling of 252074432 in words is "two hundred fifty-two million, seventy-four thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 32 59 64 118 236 241 277 472 482 554 944 964 1108 1888 1928 2216 3776 3856 4432 7712 8864 14219 15424 16343 17728 28438 32686 56876 65372 66757 113752 130744 133514 227504 261488 267028 455008 522976 534056 910016 1045952 1068112 2136224 3938663 4272448 7877326 15754652 31509304 63018608 126037216 252074432