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87910992 = 243213151311
BaseRepresentation
bin1010011110101…
…10101001010000
320010102100012200
411033112221100
5140001122432
612420123200
72115142161
oct517265120
9203370180
1087910992
1145694914
1225536500
13152a0150
14b965768
157ab7a7c
hex53d6a50

87910992 has 120 divisors (see below), whose sum is σ = 267566208. Its totient is φ = 26784000.

The previous prime is 87910987. The next prime is 87911023. The reversal of 87910992 is 29901978.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 282517 + ... + 282827.

Almost surely, 287910992 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 87910992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133783104).

87910992 is an abundant number, since it is smaller than the sum of its proper divisors (179655216).

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

87910992 is a wasteful number, since it uses less digits than its factorization.

87910992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 489 (or 480 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 45.

The square root of 87910992 is about 9376.0861770784. The cubic root of 87910992 is about 444.6460038735.

The spelling of 87910992 in words is "eighty-seven million, nine hundred ten thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 78 104 117 144 151 156 208 234 302 311 312 453 468 604 622 624 906 933 936 1208 1244 1359 1812 1866 1872 1963 2416 2488 2718 2799 3624 3732 3926 4043 4976 5436 5598 5889 7248 7464 7852 8086 10872 11196 11778 12129 14928 15704 16172 17667 21744 22392 23556 24258 31408 32344 35334 36387 44784 46961 47112 48516 64688 70668 72774 93922 94224 97032 140883 141336 145548 187844 194064 281766 282672 291096 375688 422649 563532 582192 610493 751376 845298 1127064 1220986 1690596 1831479 2254128 2441972 3381192 3662958 4883944 5494437 6762384 7325916 9767888 10988874 14651832 21977748 29303664 43955496 87910992