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88990968 = 23311521647
BaseRepresentation
bin1010100110111…
…10010011111000
320012110012122210
411103132103320
5140240202333
612455215120
72130260613
oct523362370
9205405583
1088990968
1146262260
12259774a0
131558a8a1
14bb6717a
157c2ca63
hex54de4f8

88990968 has 64 divisors (see below), whose sum is σ = 243544320. Its totient is φ = 26873600.

The previous prime is 88990943. The next prime is 88990969. The reversal of 88990968 is 86909988.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (88990969) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 137221 + ... + 137867.

It is an arithmetic number, because the mean of its divisors is an integer number (3805380).

Almost surely, 288990968 is an apocalyptic number.

88990968 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 88990968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121772160).

88990968 is an abundant number, since it is smaller than the sum of its proper divisors (154553352).

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

88990968 is a wasteful number, since it uses less digits than its factorization.

88990968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1188 (or 1184 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 57.

The square root of 88990968 is about 9433.5024248685. The cubic root of 88990968 is about 446.4594058349.

The spelling of 88990968 in words is "eighty-eight million, nine hundred ninety thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 521 647 1042 1294 1563 1941 2084 2588 3126 3882 4168 5176 5731 6252 7117 7764 11462 12504 14234 15528 17193 21351 22924 28468 34386 42702 45848 56936 68772 85404 137544 170808 337087 674174 1011261 1348348 2022522 2696696 3707957 4045044 7415914 8090088 11123871 14831828 22247742 29663656 44495484 88990968