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86102432 = 2513238999
BaseRepresentation
bin1010010000111…
…01000110100000
320000000110022222
411020131012200
5134020234212
612313250212
72063600333
oct510350640
9200013288
1086102432
114466a039
1224a03968
1314ab8bb0
14b61461a
15785bc72
hex521d1a0

86102432 has 48 divisors (see below), whose sum is σ = 190512000. Its totient is φ = 38007552.

The previous prime is 86102431. The next prime is 86102447. The reversal of 86102432 is 23420168.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is not an unprimeable number, because it can be changed into a prime (86102431) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5069 + ... + 14067.

It is an arithmetic number, because the mean of its divisors is an integer number (3969000).

Almost surely, 286102432 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 86102432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95256000).

86102432 is an abundant number, since it is smaller than the sum of its proper divisors (104409568).

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

86102432 is a wasteful number, since it uses less digits than its factorization.

86102432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9045 (or 9037 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

The square root of 86102432 is about 9279.1396152876. The cubic root of 86102432 is about 441.5756729755.

The spelling of 86102432 in words is "eighty-six million, one hundred two thousand, four hundred thirty-two".

Divisors: 1 2 4 8 13 16 23 26 32 46 52 92 104 184 208 299 368 416 598 736 1196 2392 4784 8999 9568 17998 35996 71992 116987 143984 206977 233974 287968 413954 467948 827908 935896 1655816 1871792 2690701 3311632 3743584 5381402 6623264 10762804 21525608 43051216 86102432