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88914144 = 2531184199
BaseRepresentation
bin1010100110010…
…11100011100000
320012022022021110
411103023203200
5140230223034
612453423320
72126520624
oct523134340
9205268243
1088914144
114620a570
122593ab40
1315561927
14bb47184
157c14de9
hex54cb8e0

88914144 has 48 divisors (see below), whose sum is σ = 254620800. Its totient is φ = 26943360.

The previous prime is 88914127. The next prime is 88914151. The reversal of 88914144 is 44141988.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 41044 + ... + 43155.

It is an arithmetic number, because the mean of its divisors is an integer number (5304600).

Almost surely, 288914144 is an apocalyptic number.

It is an amenable number.

88914144 is an abundant number, since it is smaller than the sum of its proper divisors (165706656).

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

88914144 is a wasteful number, since it uses less digits than its factorization.

88914144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84223 (or 84215 counting only the distinct ones).

The product of its digits is 36864, while the sum is 39.

The square root of 88914144 is about 9429.4296752243. The cubic root of 88914144 is about 446.3308958947.

The spelling of 88914144 in words is "eighty-eight million, nine hundred fourteen thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 352 528 1056 84199 168398 252597 336796 505194 673592 926189 1010388 1347184 1852378 2020776 2694368 2778567 3704756 4041552 5557134 7409512 8083104 11114268 14819024 22228536 29638048 44457072 88914144