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88099088 = 24711431663
BaseRepresentation
bin1010100000001…
…00100100010000
320010202220020012
411100010210100
5140023132323
612424134052
72116554440
oct520044420
9203686205
1088099088
1145803170
1225607328
131533794c
14b9b4120
157b03678
hex5404910

88099088 has 80 divisors (see below), whose sum is σ = 217890816. Its totient is φ = 33505920.

The previous prime is 88099087. The next prime is 88099111.

88099088 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×880990882 = 15522898612863488, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (88099087) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 52145 + ... + 53807.

Almost surely, 288099088 is an apocalyptic number.

88099088 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 88099088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108945408).

88099088 is an abundant number, since it is smaller than the sum of its proper divisors (129791728).

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

88099088 is a wasteful number, since it uses less digits than its factorization.

88099088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1732 (or 1726 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 50.

The square root of 88099088 is about 9386.1114419125. Note that the first 3 decimals coincide. The cubic root of 88099088 is about 444.9629022645.

The spelling of 88099088 in words is "eighty-eight million, ninety-nine thousand, eighty-eight".

Divisors: 1 2 4 7 8 11 14 16 22 28 43 44 56 77 86 88 112 154 172 176 301 308 344 473 602 616 688 946 1204 1232 1663 1892 2408 3311 3326 3784 4816 6622 6652 7568 11641 13244 13304 18293 23282 26488 26608 36586 46564 52976 71509 73172 93128 128051 143018 146344 186256 256102 286036 292688 500563 512204 572072 786599 1001126 1024408 1144144 1573198 2002252 2048816 3146396 4004504 5506193 6292792 8009008 11012386 12585584 22024772 44049544 88099088