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116292352 = 281161677
BaseRepresentation
bin1101110111001…
…11101100000000
322002211021010011
412323213230000
5214232323402
615312314304
72611316521
oct673475400
9262737104
10116292352
115a70a190
1232b42994
131b129457
1411632848
15a321ed7
hex6ee7b00

116292352 has 72 divisors (see below), whose sum is σ = 257764752. Its totient is φ = 51916800.

The previous prime is 116292317. The next prime is 116292353. The reversal of 116292352 is 253292611.

It is a super-2 number, since 2×1162923522 = 27047822267383808, which contains 22 as substring.

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (116292353) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 171438 + ... + 172114.

It is an arithmetic number, because the mean of its divisors is an integer number (3580066).

Almost surely, 2116292352 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 116292352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128882376).

116292352 is an abundant number, since it is smaller than the sum of its proper divisors (141472400).

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

116292352 is an equidigital number, since it uses as much as digits as its factorization.

116292352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 765 (or 751 counting only the distinct ones).

The product of its digits is 6480, while the sum is 31.

The square root of 116292352 is about 10783.8931745451. The cubic root of 116292352 is about 488.1092651508.

The spelling of 116292352 in words is "one hundred sixteen million, two hundred ninety-two thousand, three hundred fifty-two".

Divisors: 1 2 4 8 11 16 22 32 44 61 64 88 122 128 176 244 256 352 488 671 677 704 976 1342 1354 1408 1952 2684 2708 2816 3904 5368 5416 7447 7808 10736 10832 14894 15616 21472 21664 29788 41297 42944 43328 59576 82594 85888 86656 119152 165188 171776 173312 238304 330376 454267 476608 660752 908534 953216 1321504 1817068 1906432 2643008 3634136 5286016 7268272 10572032 14536544 29073088 58146176 116292352