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88084152 = 233313219127
BaseRepresentation
bin1010100000000…
…00111010111000
320010202010202000
411100000322320
5140022143102
612423541000
72116463052
oct520007270
9203663660
1088084152
11457a2a22
12255ba760
1315330c00
14b9ac8d2
157aee01c
hex5400eb8

88084152 has 192 divisors, whose sum is σ = 281088000. Its totient is φ = 25474176.

The previous prime is 88084151. The next prime is 88084159. The reversal of 88084152 is 25148088.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (88084151) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 693513 + ... + 693639.

It is an arithmetic number, because the mean of its divisors is an integer number (1464000).

Almost surely, 288084152 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 88084152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140544000).

88084152 is an abundant number, since it is smaller than the sum of its proper divisors (193003848).

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

88084152 is a wasteful number, since it uses less digits than its factorization.

88084152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 36.

The square root of 88084152 is about 9385.3157645334. The cubic root of 88084152 is about 444.9377550442.

The spelling of 88084152 in words is "eighty-eight million, eighty-four thousand, one hundred fifty-two".