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252535296 = 2931312647
BaseRepresentation
bin11110000110101…
…10001000000000
3122121012010022010
433003112020000
51004122112141
641020412520
76154341336
oct1703261000
9577163263
10252535296
1111a605562
12706a7140
134041c690
1425779b56
1517285416
hexf0d6200

252535296 has 80 divisors (see below), whose sum is σ = 724578624. Its totient is φ = 77697024.

The previous prime is 252535267. The next prime is 252535313. The reversal of 252535296 is 692535252.

252535296 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (39).

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, 13645 + ... + 26291.

Almost surely, 2252535296 is an apocalyptic number.

252535296 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 252535296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (362289312).

252535296 is an abundant number, since it is smaller than the sum of its proper divisors (472043328).

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

252535296 is a wasteful number, since it uses less digits than its factorization.

252535296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12681 (or 12665 counting only the distinct ones).

The product of its digits is 162000, while the sum is 39.

The square root of 252535296 is about 15891.3591615066. The cubic root of 252535296 is about 632.0828818290.

The spelling of 252535296 in words is "two hundred fifty-two million, five hundred thirty-five thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 192 208 256 312 384 416 512 624 768 832 1248 1536 1664 2496 3328 4992 6656 9984 12647 19968 25294 37941 50588 75882 101176 151764 164411 202352 303528 328822 404704 493233 607056 657644 809408 986466 1214112 1315288 1618816 1972932 2428224 2630576 3237632 3945864 4856448 5261152 6475264 7891728 9712896 10522304 15783456 19425792 21044608 31566912 42089216 63133824 84178432 126267648 252535296