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252514314 = 233133531019
BaseRepresentation
bin11110000110100…
…01000000001010
3122121011001112000
433003101000022
51004120424224
641020131430
76154223223
oct1703210012
9577131460
10252514314
1111a5a0818
1270696b76
1340412c70
142577224a
151727e0c9
hexf0d100a

252514314 has 64 divisors (see below), whose sum is σ = 606614400. Its totient is φ = 77400576.

The previous prime is 252514291. The next prime is 252514321. The reversal of 252514314 is 413415252.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 247297 + ... + 248315.

It is an arithmetic number, because the mean of its divisors is an integer number (9478350).

Almost surely, 2252514314 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 252514314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303307200).

252514314 is an abundant number, since it is smaller than the sum of its proper divisors (354100086).

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

252514314 is a wasteful number, since it uses less digits than its factorization.

252514314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1396 (or 1390 counting only the distinct ones).

The product of its digits is 4800, while the sum is 27.

The square root of 252514314 is about 15890.6989777039. The cubic root of 252514314 is about 632.0653757212.

Adding to 252514314 its reverse (413415252), we get a palindrome (665929566).

The spelling of 252514314 in words is "two hundred fifty-two million, five hundred fourteen thousand, three hundred fourteen".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 117 234 351 353 702 706 1019 1059 2038 2118 3057 3177 4589 6114 6354 9171 9178 9531 13247 13767 18342 19062 26494 27513 27534 39741 41301 55026 79482 82602 119223 123903 238446 247806 357669 359707 715338 719414 1079121 2158242 3237363 4676191 6474726 9352382 9712089 14028573 19424178 28057146 42085719 84171438 126257157 252514314