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85013984 = 2511241517
BaseRepresentation
bin1010001000100…
…11010111100000
312220222011021002
411010103113200
5133230421414
612234051132
72051415116
oct504232740
9186864232
1085013984
1143a962a0
1224579aa8
13147c7643
14b40dab6
1576e44de
hex51135e0

85013984 has 24 divisors (see below), whose sum is σ = 182587608. Its totient is φ = 38642560.

The previous prime is 85013983. The next prime is 85013987. The reversal of 85013984 is 48931058.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85013983) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 120407 + ... + 121110.

It is an arithmetic number, because the mean of its divisors is an integer number (7607817).

Almost surely, 285013984 is an apocalyptic number.

It is an amenable number.

85013984 is an abundant number, since it is smaller than the sum of its proper divisors (97573624).

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

85013984 is a wasteful number, since it uses less digits than its factorization.

85013984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241538 (or 241530 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 38.

The square root of 85013984 is about 9220.3028149839. The cubic root of 85013984 is about 439.7070777627.

The spelling of 85013984 in words is "eighty-five million, thirteen thousand, nine hundred eighty-four".

Divisors: 1 2 4 8 11 16 22 32 44 88 176 352 241517 483034 966068 1932136 2656687 3864272 5313374 7728544 10626748 21253496 42506992 85013984