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88875072 = 26321113283
BaseRepresentation
bin1010100110000…
…10000001000000
320012020022200100
411103002001000
5140223000242
612452522400
72126265666
oct523020100
9205208610
1088875072
1146193180
1225920400
1315549c00
14bb36c36
157c0854c
hex54c2040

88875072 has 252 divisors, whose sum is σ = 304550064. Its totient is φ = 24560640.

The previous prime is 88875067. The next prime is 88875139. The reversal of 88875072 is 27057888.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1070743 + ... + 1070825.

It is an arithmetic number, because the mean of its divisors is an integer number (1208532).

Almost surely, 288875072 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 88875072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152275032).

88875072 is an abundant number, since it is smaller than the sum of its proper divisors (215674992).

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

88875072 is a wasteful number, since it uses less digits than its factorization.

88875072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 250880, while the sum is 45.

The square root of 88875072 is about 9427.3576361566. The cubic root of 88875072 is about 446.2655084882.

The spelling of 88875072 in words is "eighty-eight million, eight hundred seventy-five thousand, seventy-two".