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88907328 = 2633232237
BaseRepresentation
bin1010100110010…
…01111001000000
320012021221221000
411103021321000
5140230013303
612453332000
72126462016
oct523117100
9205257830
1088907328
1146205434
1225937000
131555b7b3
14bb448b6
157c12da3
hex54c9e40

88907328 has 112 divisors (see below), whose sum is σ = 272856960. Its totient is φ = 28334592.

The previous prime is 88907323. The next prime is 88907339. The reversal of 88907328 is 82370988.

It is not an unprimeable number, because it can be changed into a prime (88907321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38626 + ... + 40862.

Almost surely, 288907328 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 88907328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136428480).

88907328 is an abundant number, since it is smaller than the sum of its proper divisors (183949632).

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

88907328 is a wasteful number, since it uses less digits than its factorization.

88907328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2281 (or 2265 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The square root of 88907328 is about 9429.0682466509. The cubic root of 88907328 is about 446.3194906259.

The spelling of 88907328 in words is "eighty-eight million, nine hundred seven thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 27 32 36 46 48 54 64 69 72 92 96 108 138 144 184 192 207 216 276 288 368 414 432 552 576 621 736 828 864 1104 1242 1472 1656 1728 2208 2237 2484 3312 4416 4474 4968 6624 6711 8948 9936 13248 13422 17896 19872 20133 26844 35792 39744 40266 51451 53688 60399 71584 80532 102902 107376 120798 143168 154353 161064 205804 214752 241596 308706 322128 411608 429504 463059 483192 617412 644256 823216 926118 966384 1234824 1288512 1389177 1646432 1852236 1932768 2469648 2778354 3292864 3704472 3865536 4939296 5556708 7408944 9878592 11113416 14817888 22226832 29635776 44453664 88907328