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90117888 = 283716763
BaseRepresentation
bin1010101111100…
…01011100000000
320021120110111120
411113301130000
5141032233023
612535312240
72142663240
oct527613400
9207513446
1090117888
11469619a3
122621b680
13158937c3
14bd7bb20
157da18e3
hex55f1700

90117888 has 72 divisors (see below), whose sum is σ = 274124928. Its totient is φ = 25746432.

The previous prime is 90117883. The next prime is 90117917. The reversal of 90117888 is 88871109.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90117883) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3006 + ... + 13757.

Almost surely, 290117888 is an apocalyptic number.

It is an amenable number.

90117888 is an abundant number, since it is smaller than the sum of its proper divisors (184007040).

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

90117888 is a wasteful number, since it uses less digits than its factorization.

90117888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16789 (or 16775 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 42.

The square root of 90117888 is about 9493.0441903533. The cubic root of 90117888 is about 448.3360573747.

The spelling of 90117888 in words is "ninety million, one hundred seventeen thousand, eight hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 256 336 384 448 672 768 896 1344 1792 2688 5376 16763 33526 50289 67052 100578 117341 134104 201156 234682 268208 352023 402312 469364 536416 704046 804624 938728 1072832 1408092 1609248 1877456 2145664 2816184 3218496 3754912 4291328 5632368 6436992 7509824 11264736 12873984 15019648 22529472 30039296 45058944 90117888