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88286112 = 253434061
BaseRepresentation
bin1010100001100…
…10001110100000
320011010101210000
411100302032200
5140100123422
612432140000
72121263625
oct520621640
9204111700
1088286112
1145920732
1225697600
13153a1b05
14ba2234c
157b3dcac
hex54323a0

88286112 has 60 divisors (see below), whose sum is σ = 259654626. Its totient is φ = 29427840.

The previous prime is 88286111. The next prime is 88286119. The reversal of 88286112 is 21168288.

It can be written as a sum of positive squares in only one way, i.e., 88284816 + 1296 = 9396^2 + 36^2 .

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (88286111) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 14439 + ... + 19622.

Almost surely, 288286112 is an apocalyptic number.

It is an amenable number.

88286112 is an abundant number, since it is smaller than the sum of its proper divisors (171368514).

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

88286112 is a wasteful number, since it uses less digits than its factorization.

88286112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34083 (or 34066 counting only the distinct ones).

The product of its digits is 12288, while the sum is 36.

The square root of 88286112 is about 9396.0689652641. The cubic root of 88286112 is about 445.2775476833.

The spelling of 88286112 in words is "eighty-eight million, two hundred eighty-six thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 288 324 432 648 864 1296 2592 34061 68122 102183 136244 204366 272488 306549 408732 544976 613098 817464 919647 1089952 1226196 1634928 1839294 2452392 2758941 3269856 3678588 4904784 5517882 7357176 9809568 11035764 14714352 22071528 29428704 44143056 88286112