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88000968 = 23311333337
BaseRepresentation
bin1010011111011…
…00100111001000
320010120220122010
411033230213020
5140012012333
612422055520
72115665406
oct517544710
9203526563
1088000968
1145746480
122557a5a0
13153020a3
14b98a476
157ad4563
hex53ec9c8

88000968 has 32 divisors (see below), whose sum is σ = 240003360. Its totient is φ = 26666880.

The previous prime is 88000963. The next prime is 88000981. The reversal of 88000968 is 86900088.

88000968 is a modest number, since divided by 968 gives 88 as remainder.

It is not an unprimeable number, because it can be changed into a prime (88000963) 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, 166405 + ... + 166932.

It is an arithmetic number, because the mean of its divisors is an integer number (7500105).

Almost surely, 288000968 is an apocalyptic number.

88000968 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

88000968 is an abundant number, since it is smaller than the sum of its proper divisors (152002392).

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

88000968 is a wasteful number, since it uses less digits than its factorization.

88000968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 333357 (or 333353 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 39.

The square root of 88000968 is about 9380.8831140783. The cubic root of 88000968 is about 444.7976490266.

It can be divided in two parts, 88000 and 968, that multiplied together give a cube (85184000 = 4403).

The spelling of 88000968 in words is "eighty-eight million, nine hundred sixty-eight", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 333337 666674 1000011 1333348 2000022 2666696 3666707 4000044 7333414 8000088 11000121 14666828 22000242 29333656 44000484 88000968