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94864 = 2472112
BaseRepresentation
bin10111001010010000
311211010111
4113022100
511013424
62011104
7543400
oct271220
9154114
1094864
1165300
1246a94
1334243
1426800
151d194
hex17290

94864 has 45 divisors (see below), whose sum is σ = 235011. Its totient is φ = 36960.

The previous prime is 94849. The next prime is 94873. The reversal of 94864 is 46849.

94864 = T307 + T308.

The square root of 94864 is 308.

It is a perfect power (a square), and thus also a powerful number.

94864 is nontrivially palindromic in base 13.

It is a nialpdrome in base 11.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 8619 + ... + 8629.

294864 is an apocalyptic number.

94864 is the 308-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 94864

94864 is an abundant number, since it is smaller than the sum of its proper divisors (140147).

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

94864 is a wasteful number, since it uses less digits than its factorization.

94864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44 (or 20 counting only the distinct ones).

The product of its digits is 6912, while the sum is 31.

The cubic root of 94864 is about 45.6072421041.

The spelling of 94864 in words is "ninety-four thousand, eight hundred sixty-four".

Divisors: 1 2 4 7 8 11 14 16 22 28 44 49 56 77 88 98 112 121 154 176 196 242 308 392 484 539 616 784 847 968 1078 1232 1694 1936 2156 3388 4312 5929 6776 8624 11858 13552 23716 47432 94864