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253502392 = 2311133753113
BaseRepresentation
bin11110001110000…
…10001110111000
3122200000020220111
433013002032320
51004344034032
641053234104
76165510013
oct1707021670
9580006814
10253502392
11120106110
1270a92934
134069a920
142594c37a
15173c6c47
hexf1c23b8

253502392 has 128 divisors (see below), whose sum is σ = 589498560. Its totient is φ = 100638720.

The previous prime is 253502383. The next prime is 253502393. The reversal of 253502392 is 293205352.

253502392 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (253502393) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2243328 + ... + 2243440.

Almost surely, 2253502392 is an apocalyptic number.

253502392 is a gapful number since it is divisible by the number (22) 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 253502392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294749280).

253502392 is an abundant number, since it is smaller than the sum of its proper divisors (335996168).

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

253502392 is a wasteful number, since it uses less digits than its factorization.

253502392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 233 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 31.

The square root of 253502392 is about 15921.7584455989. The cubic root of 253502392 is about 632.8887179207. Note that the first 3 decimals are identical.

The spelling of 253502392 in words is "two hundred fifty-three million, five hundred two thousand, three hundred ninety-two".

Divisors: 1 2 4 8 11 13 22 26 37 44 52 53 74 88 104 106 113 143 148 212 226 286 296 407 424 452 481 572 583 689 814 904 962 1144 1166 1243 1378 1469 1628 1924 1961 2332 2486 2756 2938 3256 3848 3922 4181 4664 4972 5291 5512 5876 5989 7579 7844 8362 9944 10582 11752 11978 15158 15688 16159 16724 21164 21571 23956 25493 30316 32318 33448 42328 43142 45991 47912 50986 54353 60632 64636 65879 77857 86284 91982 101972 108706 129272 131758 155714 172568 183964 203944 217412 221593 263516 280423 311428 367928 434824 443186 527032 560846 597883 622856 856427 886372 1121692 1195766 1712854 1772744 2243384 2391532 2437523 2880709 3425708 4783064 4875046 5761418 6851416 9750092 11522836 19500184 23045672 31687799 63375598 126751196 253502392