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89917956 = 223219472797
BaseRepresentation
bin1010101110000…
…00101000000100
320021012022020200
411113000220010
5141004333311
612531130500
72141201322
oct527005004
9207168220
1089917956
1146835767
1226143a30
13158237bb
14bd28d12
157d62556
hex55c0a04

89917956 has 72 divisors (see below), whose sum is σ = 244433280. Its totient is φ = 27781056.

The previous prime is 89917943. The next prime is 89917957. The reversal of 89917956 is 65971998.

It is a super-2 number, since 2×899179562 = 16170477622435872, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (89917957) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30750 + ... + 33546.

Almost surely, 289917956 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 89917956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122216640).

89917956 is an abundant number, since it is smaller than the sum of its proper divisors (154515324).

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

89917956 is a wasteful number, since it uses less digits than its factorization.

89917956 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2873 (or 2868 counting only the distinct ones).

The product of its digits is 1224720, while the sum is 54.

The square root of 89917956 is about 9482.5078961212. The cubic root of 89917956 is about 448.0042583035.

The spelling of 89917956 in words is "eighty-nine million, nine hundred seventeen thousand, nine hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 47 57 76 94 114 141 171 188 228 282 342 423 564 684 846 893 1692 1786 2679 2797 3572 5358 5594 8037 8391 10716 11188 16074 16782 25173 32148 33564 50346 53143 100692 106286 131459 159429 212572 262918 318858 394377 478287 525836 637716 788754 956574 1183131 1577508 1913148 2366262 2497721 4732524 4995442 7493163 9990884 14986326 22479489 29972652 44958978 89917956