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87689408 = 2619371949
BaseRepresentation
bin1010011101000…
…00100011000000
320010000002020212
411032200203000
5134422030113
612411253252
72113230152
oct516404300
9203002225
1087689408
1145553394
122544a228
1315223331
14b908ad2
157a720a8
hex53a08c0

87689408 has 56 divisors (see below), whose sum is σ = 188214000. Its totient is φ = 40393728.

The previous prime is 87689387. The next prime is 87689423. The reversal of 87689408 is 80498678.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 44018 + ... + 45966.

Almost surely, 287689408 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 87689408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94107000).

87689408 is an abundant number, since it is smaller than the sum of its proper divisors (100524592).

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

87689408 is a wasteful number, since it uses less digits than its factorization.

87689408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2017 (or 2007 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 50.

The square root of 87689408 is about 9364.2622774034. The cubic root of 87689408 is about 444.2721054783.

The spelling of 87689408 in words is "eighty-seven million, six hundred eighty-nine thousand, four hundred eight".

Divisors: 1 2 4 8 16 19 32 37 38 64 74 76 148 152 296 304 592 608 703 1184 1216 1406 1949 2368 2812 3898 5624 7796 11248 15592 22496 31184 37031 44992 62368 72113 74062 124736 144226 148124 288452 296248 576904 592496 1153808 1184992 1370147 2307616 2369984 2740294 4615232 5480588 10961176 21922352 43844704 87689408