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86017056 = 25323163239
BaseRepresentation
bin1010010000010…
…00010000100000
312222212010012220
411020020100200
5134010021211
612311351040
72063063406
oct510102040
9188763186
1086017056
1144610984
1224982480
1314a89088
14b5d1476
157841806
hex5208420

86017056 has 96 divisors (see below), whose sum is σ = 238049280. Its totient is φ = 27143424.

The previous prime is 86017049. The next prime is 86017073. The reversal of 86017056 is 65071068.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 359785 + ... + 360023.

It is an arithmetic number, because the mean of its divisors is an integer number (2479680).

Almost surely, 286017056 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 86017056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119024640).

86017056 is an abundant number, since it is smaller than the sum of its proper divisors (152032224).

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

86017056 is a wasteful number, since it uses less digits than its factorization.

86017056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 438 (or 430 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 33.

The square root of 86017056 is about 9274.5380477952. The cubic root of 86017056 is about 441.4296746520.

The spelling of 86017056 in words is "eighty-six million, seventeen thousand, fifty-six".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 69 92 96 138 163 184 239 276 326 368 478 489 552 652 717 736 956 978 1104 1304 1434 1912 1956 2208 2608 2868 3749 3824 3912 5216 5497 5736 7498 7648 7824 10994 11247 11472 14996 15648 16491 21988 22494 22944 29992 32982 38957 43976 44988 59984 65964 77914 87952 89976 116871 119968 131928 155828 175904 179952 233742 263856 311656 359904 467484 527712 623312 896011 934968 1246624 1792022 1869936 2688033 3584044 3739872 5376066 7168088 10752132 14336176 21504264 28672352 43008528 86017056