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82933056 = 2632143981
BaseRepresentation
bin1001111000101…
…11010101000000
312210001102202200
410330113111000
5132212324211
612121313200
72024630223
oct474272500
9183042680
1082933056
11428a4918
1223935800
131424941b
14b02b5ba
157432b56
hex4f17540

82933056 has 42 divisors (see below), whose sum is σ = 237714282. Its totient is φ = 27644160.

The previous prime is 82933049. The next prime is 82933057. The reversal of 82933056 is 65033928.

It can be written as a sum of positive squares in only one way, i.e., 72590400 + 10342656 = 8520^2 + 3216^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 82933056.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82933057) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 71415 + ... + 72566.

Almost surely, 282933056 is an apocalyptic number.

It is an amenable number.

82933056 is an abundant number, since it is smaller than the sum of its proper divisors (154781226).

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

82933056 is a wasteful number, since it uses less digits than its factorization.

82933056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143999 (or 143986 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 82933056 is about 9106.7588087091. The cubic root of 82933056 is about 436.0897607187.

The spelling of 82933056 in words is "eighty-two million, nine hundred thirty-three thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 143981 287962 431943 575924 863886 1151848 1295829 1727772 2303696 2591658 3455544 4607392 5183316 6911088 9214784 10366632 13822176 20733264 27644352 41466528 82933056