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83460672 = 263348299
BaseRepresentation
bin1001111100110…
…00001001000000
312211001020112000
410332120021000
5132331220142
612140504000
72032255401
oct476301100
9184036460
1083460672
1143125269
1223b4b000
13143a2619
14b1279a8
1574d914c
hex4f98240

83460672 has 56 divisors (see below), whose sum is σ = 245364000. Its totient is φ = 27819648.

The previous prime is 83460647. The next prime is 83460677. The reversal of 83460672 is 27606438.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (83460677) 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, 22422 + ... + 25877.

It is an arithmetic number, because the mean of its divisors is an integer number (4381500).

Almost surely, 283460672 is an apocalyptic number.

It is an amenable number.

83460672 is an abundant number, since it is smaller than the sum of its proper divisors (161903328).

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

83460672 is a wasteful number, since it uses less digits than its factorization.

83460672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48320 (or 48304 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 83460672 is about 9135.6812553854. The cubic root of 83460672 is about 437.0126002857.

The spelling of 83460672 in words is "eighty-three million, four hundred sixty thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 144 192 216 288 432 576 864 1728 48299 96598 144897 193196 289794 386392 434691 579588 772784 869382 1159176 1304073 1545568 1738764 2318352 2608146 3091136 3477528 4636704 5216292 6955056 9273408 10432584 13910112 20865168 27820224 41730336 83460672