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252496116 = 223423311093
BaseRepresentation
bin11110000110011…
…00100011110100
3122121010010120000
433003030203310
51004114333431
641015511300
76154116165
oct1703144364
9577103500
10252496116
1111a589084
1270688530
13404078b2
142576976c
15172789e6
hexf0cc8f4

252496116 has 120 divisors (see below), whose sum is σ = 711642624. Its totient is φ = 77837760.

The previous prime is 252496099. The next prime is 252496117. The reversal of 252496116 is 611694252.

252496116 is a `hidden beast` number, since 2 + 52 + 496 + 116 = 666.

252496116 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252496117) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 230466 + ... + 231558.

Almost surely, 2252496116 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 252496116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (355821312).

252496116 is an abundant number, since it is smaller than the sum of its proper divisors (459146508).

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

252496116 is a wasteful number, since it uses less digits than its factorization.

252496116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1163 (or 1152 counting only the distinct ones).

The product of its digits is 25920, while the sum is 36.

The square root of 252496116 is about 15890.1263682829. The cubic root of 252496116 is about 632.0501916288.

The spelling of 252496116 in words is "two hundred fifty-two million, four hundred ninety-six thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 23 27 31 36 46 54 62 69 81 92 93 108 124 138 162 186 207 276 279 324 372 414 558 621 713 828 837 1093 1116 1242 1426 1674 1863 2139 2186 2484 2511 2852 3279 3348 3726 4278 4372 5022 6417 6558 7452 8556 9837 10044 12834 13116 19251 19674 25139 25668 29511 33883 38502 39348 50278 57753 59022 67766 75417 77004 88533 100556 101649 115506 118044 135532 150834 177066 203298 226251 231012 301668 304947 354132 406596 452502 609894 678753 779309 905004 914841 1219788 1357506 1558618 1829682 2036259 2337927 2715012 2744523 3117236 3659364 4072518 4675854 5489046 7013781 8145036 9351708 10978092 14027562 21041343 28055124 42082686 63124029 84165372 126248058 252496116