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87708192 = 25311136389
BaseRepresentation
bin1010011101001…
…01001000100000
320010001001000120
411032211020200
5134423130232
612411520240
72113336005
oct516451040
9203031016
1087708192
1145566510
1225459080
131522ba50
14b9118ac
157a7792c
hex53a5220

87708192 has 96 divisors (see below), whose sum is σ = 270527040. Its totient is φ = 24529920.

The previous prime is 87708169. The next prime is 87708197. The reversal of 87708192 is 29180778.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (87708197) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10534 + ... + 16922.

It is an arithmetic number, because the mean of its divisors is an integer number (2817990).

Almost surely, 287708192 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 87708192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135263520).

87708192 is an abundant number, since it is smaller than the sum of its proper divisors (182818848).

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

87708192 is a wasteful number, since it uses less digits than its factorization.

87708192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6426 (or 6418 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 42.

The square root of 87708192 is about 9365.2651857809. The cubic root of 87708192 is about 444.3038258104.

The spelling of 87708192 in words is "eighty-seven million, seven hundred eight thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 11 12 13 16 22 24 26 32 33 39 44 48 52 66 78 88 96 104 132 143 156 176 208 264 286 312 352 416 429 528 572 624 858 1056 1144 1248 1716 2288 3432 4576 6389 6864 12778 13728 19167 25556 38334 51112 70279 76668 83057 102224 140558 153336 166114 204448 210837 249171 281116 306672 332228 421674 498342 562232 613344 664456 843348 913627 996684 1124464 1328912 1686696 1827254 1993368 2248928 2657824 2740881 3373392 3654508 3986736 5481762 6746784 7309016 7973472 10963524 14618032 21927048 29236064 43854096 87708192