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82279912 = 231113711013
BaseRepresentation
bin1001110011101…
…11110111101000
312201211020211011
410321313313220
5132030424122
612055313304
72016240061
oct471676750
9181736734
1082279912
1142499130
122367b834
131407b050
14acdb568
157354377
hex4e77de8

82279912 has 64 divisors (see below), whose sum is σ = 183980160. Its totient is φ = 34003200.

The previous prime is 82279909. The next prime is 82279913. The reversal of 82279912 is 21997228.

It is not an unprimeable number, because it can be changed into a prime (82279913) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 80718 + ... + 81730.

It is an arithmetic number, because the mean of its divisors is an integer number (2874690).

Almost surely, 282279912 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 82279912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91990080).

82279912 is an abundant number, since it is smaller than the sum of its proper divisors (101700248).

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

82279912 is a wasteful number, since it uses less digits than its factorization.

82279912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1114 (or 1110 counting only the distinct ones).

The product of its digits is 36288, while the sum is 40.

The square root of 82279912 is about 9070.8275256451. The cubic root of 82279912 is about 434.9419255717.

The spelling of 82279912 in words is "eighty-two million, two hundred seventy-nine thousand, nine hundred twelve".

Divisors: 1 2 4 8 11 13 22 26 44 52 71 88 104 142 143 284 286 568 572 781 923 1013 1144 1562 1846 2026 3124 3692 4052 6248 7384 8104 10153 11143 13169 20306 22286 26338 40612 44572 52676 71923 81224 89144 105352 143846 144859 287692 289718 575384 579436 791153 934999 1158872 1582306 1869998 3164612 3739996 6329224 7479992 10284989 20569978 41139956 82279912