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82920796 = 22723331389
BaseRepresentation
bin1001111000101…
…00010101011100
312210000210221121
410330110111130
5132211431141
612121140324
72024546410
oct474242534
9183023847
1082920796
1142896692
122392a6a4
131424397a
14b026d40
15742e1d1
hex4f1455c

82920796 has 48 divisors (see below), whose sum is σ = 174021120. Its totient is φ = 33802560.

The previous prime is 82920791. The next prime is 82920821. The reversal of 82920796 is 69702928.

It is a happy number.

It is a Smith number, since the sum of its digits (43) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82920791) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 212970 + ... + 213358.

It is an arithmetic number, because the mean of its divisors is an integer number (3625440).

Almost surely, 282920796 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 82920796, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87010560).

82920796 is an abundant number, since it is smaller than the sum of its proper divisors (91100324).

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

82920796 is a wasteful number, since it uses less digits than its factorization.

82920796 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 754 (or 752 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 43.

The square root of 82920796 is about 9106.0856574052. The cubic root of 82920796 is about 436.0682705988.

The spelling of 82920796 in words is "eighty-two million, nine hundred twenty thousand, seven hundred ninety-six".

Divisors: 1 2 4 7 14 23 28 46 92 161 322 331 389 644 662 778 1324 1556 2317 2723 4634 5446 7613 8947 9268 10892 15226 17894 30452 35788 53291 62629 106582 125258 128759 213164 250516 257518 515036 901313 1802626 2961457 3605252 5922914 11845828 20730199 41460398 82920796