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88095096 = 23321971907
BaseRepresentation
bin1010100000000…
…11100101111000
320010202200202100
411100003211320
5140023020341
612424103400
72116540005
oct520034570
9203680670
1088095096
1145800171
1225604b60
1315335b9b
14b9b28ac
157b023b6
hex5403978

88095096 has 96 divisors (see below), whose sum is σ = 254966400. Its totient is φ = 27397440.

The previous prime is 88095023. The next prime is 88095097. The reversal of 88095096 is 69059088.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (88095097) 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 23 ways as a sum of consecutive naturals, for example, 96675 + ... + 97581.

It is an arithmetic number, because the mean of its divisors is an integer number (2655900).

Almost surely, 288095096 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 88095096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127483200).

88095096 is an abundant number, since it is smaller than the sum of its proper divisors (166871304).

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

88095096 is a wasteful number, since it uses less digits than its factorization.

88095096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1009 (or 1002 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The square root of 88095096 is about 9385.8987848794. The cubic root of 88095096 is about 444.9561813522.

The spelling of 88095096 in words is "eighty-eight million, ninety-five thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 36 38 57 71 72 76 114 142 152 171 213 228 284 342 426 456 568 639 684 852 907 1278 1349 1368 1704 1814 2556 2698 2721 3628 4047 5112 5396 5442 7256 8094 8163 10792 10884 12141 16188 16326 17233 21768 24282 32376 32652 34466 48564 51699 64397 65304 68932 97128 103398 128794 137864 155097 193191 206796 257588 310194 386382 413592 515176 579573 620388 772764 1159146 1223543 1240776 1545528 2318292 2447086 3670629 4636584 4894172 7341258 9788344 11011887 14682516 22023774 29365032 44047548 88095096