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82793664 = 263415971
BaseRepresentation
bin1001110111101…
…01010011000000
312202210100120000
410323311103000
5132143344124
612114320000
72023506642
oct473652300
9182710500
1082793664
114280a118
1223889000
13141cab45
14add2892
1574066c9
hex4ef54c0

82793664 has 70 divisors (see below), whose sum is σ = 245441724. Its totient is φ = 27596160.

The previous prime is 82793651. The next prime is 82793693. The reversal of 82793664 is 46639728.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 2802 + ... + 13169.

Almost surely, 282793664 is an apocalyptic number.

It is an amenable number.

82793664 is an abundant number, since it is smaller than the sum of its proper divisors (162648060).

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

82793664 is a wasteful number, since it uses less digits than its factorization.

82793664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15995 (or 15976 counting only the distinct ones).

The product of its digits is 435456, while the sum is 45.

The square root of 82793664 is about 9099.1023733113. The cubic root of 82793664 is about 435.8453004459.

The spelling of 82793664 in words is "eighty-two million, seven hundred ninety-three thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 288 324 432 576 648 864 1296 1728 2592 5184 15971 31942 47913 63884 95826 127768 143739 191652 255536 287478 383304 431217 511072 574956 766608 862434 1022144 1149912 1293651 1533216 1724868 2299824 2587302 3066432 3449736 4599648 5174604 6899472 9199296 10349208 13798944 20698416 27597888 41396832 82793664