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86487936 = 273792851
BaseRepresentation
bin1010010011110…
…11001110000000
320000202001010220
411021323032000
5134120103221
612325423040
72100064263
oct511731600
9200661126
1086487936
1144902737
1224b6aa80
1314bc24c2
14b6b4cda
1578d60c6
hex527b380

86487936 has 64 divisors (see below), whose sum is σ = 232723200. Its totient is φ = 28454400.

The previous prime is 86487931. The next prime is 86487949. The reversal of 86487936 is 63978468.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86487931) 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, 28911 + ... + 31761.

It is an arithmetic number, because the mean of its divisors is an integer number (3636300).

Almost surely, 286487936 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 86487936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116361600).

86487936 is an abundant number, since it is smaller than the sum of its proper divisors (146235264).

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

86487936 is a wasteful number, since it uses less digits than its factorization.

86487936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2947 (or 2935 counting only the distinct ones).

The product of its digits is 1741824, while the sum is 51.

The square root of 86487936 is about 9299.8890315960. The cubic root of 86487936 is about 442.2337099988.

The spelling of 86487936 in words is "eighty-six million, four hundred eighty-seven thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 79 96 128 158 192 237 316 384 474 632 948 1264 1896 2528 2851 3792 5056 5702 7584 8553 10112 11404 15168 17106 22808 30336 34212 45616 68424 91232 136848 182464 225229 273696 364928 450458 547392 675687 900916 1094784 1351374 1801832 2702748 3603664 5405496 7207328 10810992 14414656 21621984 28829312 43243968 86487936