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252640948 = 227193115319
BaseRepresentation
bin11110000111011…
…11111010110100
3122121101111020011
433003233322310
51004134002243
641022550004
76155261350
oct1703577264
9577344204
10252640948
1111a67797a
1270738304
13404587b1
14257a6460
15172a689d
hexf0efeb4

252640948 has 48 divisors (see below), whose sum is σ = 549068800. Its totient is φ = 99260640.

The previous prime is 252640943. The next prime is 252640951. The reversal of 252640948 is 849046252.

It is a self number, because there is not a number n which added to its sum of digits gives 252640948.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252640943) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8833 + ... + 24151.

Almost surely, 2252640948 is an apocalyptic number.

252640948 is a gapful number since it is divisible by the number (28) 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 252640948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274534400).

252640948 is an abundant number, since it is smaller than the sum of its proper divisors (296427852).

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

252640948 is a wasteful number, since it uses less digits than its factorization.

252640948 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15380 (or 15378 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 40.

The square root of 252640948 is about 15894.6830103654. The cubic root of 252640948 is about 632.1710167168.

The spelling of 252640948 in words is "two hundred fifty-two million, six hundred forty thousand, nine hundred forty-eight".

Divisors: 1 2 4 7 14 19 28 31 38 62 76 124 133 217 266 434 532 589 868 1178 2356 4123 8246 15319 16492 30638 61276 107233 214466 291061 428932 474889 582122 949778 1164244 1899556 2037427 3324223 4074854 6648446 8149708 9022891 13296892 18045782 36091564 63160237 126320474 252640948