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86062432 = 2517281563
BaseRepresentation
bin1010010000100…
…11010101100000
312222221102110111
411020103111200
5134012444212
612312341104
72063342611
oct510232540
9188842414
1086062432
1144641a85
12249a4794
1314aa3921
14b603c08
15784eea7
hex5213560

86062432 has 48 divisors (see below), whose sum is σ = 180360432. Its totient is φ = 40284160.

The previous prime is 86062429. The next prime is 86062447. The reversal of 86062432 is 23426068.

It is a junction number, because it is equal to n+sod(n) for n = 86062394 and 86062403.

It is a congruent number.

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, 152583 + ... + 153145.

It is an arithmetic number, because the mean of its divisors is an integer number (3757509).

Almost surely, 286062432 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 86062432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90180216).

86062432 is an abundant number, since it is smaller than the sum of its proper divisors (94298000).

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

86062432 is a wasteful number, since it uses less digits than its factorization.

86062432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 871 (or 863 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 31.

The square root of 86062432 is about 9276.9839926562. The cubic root of 86062432 is about 441.5072824844.

The spelling of 86062432 in words is "eighty-six million, sixty-two thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 17 32 34 68 136 272 281 544 562 563 1124 1126 2248 2252 4496 4504 4777 8992 9008 9554 9571 18016 19108 19142 38216 38284 76432 76568 152864 153136 158203 306272 316406 632812 1265624 2531248 2689451 5062496 5378902 10757804 21515608 43031216 86062432