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82980792 = 233210111411
BaseRepresentation
bin1001111001000…
…10111110111000
312210010212020200
410330202332320
5132220341132
612122322200
72025216336
oct474427670
9183125220
1082980792
1142927774
1223959360
131426507b
14b040b56
157441d7c
hex4f22fb8

82980792 has 48 divisors (see below), whose sum is σ = 226984680. Its totient is φ = 27384000.

The previous prime is 82980787. The next prime is 82980829. The reversal of 82980792 is 29708928.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1567 + ... + 12977.

Almost surely, 282980792 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 82980792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113492340).

82980792 is an abundant number, since it is smaller than the sum of its proper divisors (144003888).

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

82980792 is a wasteful number, since it uses less digits than its factorization.

82980792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11524 (or 11517 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The square root of 82980792 is about 9109.3793421945. The cubic root of 82980792 is about 436.1734152910.

The spelling of 82980792 in words is "eighty-two million, nine hundred eighty thousand, seven hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 101 202 303 404 606 808 909 1212 1818 2424 3636 7272 11411 22822 34233 45644 68466 91288 102699 136932 205398 273864 410796 821592 1152511 2305022 3457533 4610044 6915066 9220088 10372599 13830132 20745198 27660264 41490396 82980792