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252714616 = 237112317837
BaseRepresentation
bin11110001000000…
…01111001111000
3122121112020021121
433010001321320
51004143331431
641024315024
76156016210
oct1704017170
9577466247
10252714616
1111a718260
1270772a74
134048319b
14257c5240
15172bd611
hexf101e78

252714616 has 64 divisors (see below), whose sum is σ = 616481280. Its totient is φ = 94174080.

The previous prime is 252714607. The next prime is 252714617. The reversal of 252714616 is 616417252.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252714617) 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 15 ways as a sum of consecutive naturals, for example, 5250 + ... + 23086.

It is an arithmetic number, because the mean of its divisors is an integer number (9632520).

Almost surely, 2252714616 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 252714616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308240640).

252714616 is an abundant number, since it is smaller than the sum of its proper divisors (363766664).

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

252714616 is a wasteful number, since it uses less digits than its factorization.

252714616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17884 (or 17880 counting only the distinct ones).

The product of its digits is 20160, while the sum is 34.

The square root of 252714616 is about 15897.0002201673. Note that the first 3 decimals coincide. The cubic root of 252714616 is about 632.2324560163.

The spelling of 252714616 in words is "two hundred fifty-two million, seven hundred fourteen thousand, six hundred sixteen".

Divisors: 1 2 4 7 8 11 14 22 23 28 44 46 56 77 88 92 154 161 184 253 308 322 506 616 644 1012 1288 1771 2024 3542 7084 14168 17837 35674 71348 124859 142696 196207 249718 392414 410251 499436 784828 820502 998872 1373449 1569656 1641004 2746898 2871757 3282008 4512761 5493796 5743514 9025522 10987592 11487028 18051044 22974056 31589327 36102088 63178654 126357308 252714616