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253919295 = 32573126003
BaseRepresentation
bin11110010001010…
…00000000111111
3122200210102210100
433020220000333
51010000404140
641110212143
76202164330
oct1710500077
9580712710
10253919295
11120370363
1271054053
13407b5606
1425a1a287
151745a530
hexf22803f

253919295 has 48 divisors (see below), whose sum is σ = 519247872. Its totient is φ = 112328640.

The previous prime is 253919291. The next prime is 253919297. The reversal of 253919295 is 592919352.

It is not a de Polignac number, because 253919295 - 22 = 253919291 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 253919295.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (253919291) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3237 + ... + 22766.

It is an arithmetic number, because the mean of its divisors is an integer number (10817664).

Almost surely, 2253919295 is an apocalyptic number.

253919295 is an abundant number, since it is smaller than the sum of its proper divisors (265328577).

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

253919295 is a wasteful number, since it uses less digits than its factorization.

253919295 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26052 (or 26049 counting only the distinct ones).

The product of its digits is 218700, while the sum is 45.

The square root of 253919295 is about 15934.8453083172. The cubic root of 253919295 is about 633.2354716445.

The spelling of 253919295 in words is "two hundred fifty-three million, nine hundred nineteen thousand, two hundred ninety-five".

Divisors: 1 3 5 7 9 15 21 31 35 45 63 93 105 155 217 279 315 465 651 1085 1395 1953 3255 9765 26003 78009 130015 182021 234027 390045 546063 806093 910105 1170135 1638189 2418279 2730315 4030465 5642651 7254837 8190945 12091395 16927953 28213255 36274185 50783859 84639765 253919295