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82042044 = 22372933679
BaseRepresentation
bin1001110001111…
…01110010111100
312201101011112020
410320331302330
5132000321134
612050240140
72014226430
oct470756274
9181334466
1082042044
1142346447
1223586050
1313cc69b6
14ac789c0
157308b49
hex4e3dcbc

82042044 has 48 divisors (see below), whose sum is σ = 226329600. Its totient is φ = 22631616.

The previous prime is 82042043. The next prime is 82042063. The reversal of 82042044 is 44024028.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82042043) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14404 + ... + 19275.

It is an arithmetic number, because the mean of its divisors is an integer number (4715200).

Almost surely, 282042044 is an apocalyptic number.

82042044 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

82042044 is an abundant number, since it is smaller than the sum of its proper divisors (144287556).

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

82042044 is a wasteful number, since it uses less digits than its factorization.

82042044 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33722 (or 33720 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

The square root of 82042044 is about 9057.7063321792. The cubic root of 82042044 is about 434.5223876704.

The spelling of 82042044 in words is "eighty-two million, forty-two thousand, forty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 29 42 58 84 87 116 174 203 348 406 609 812 1218 2436 33679 67358 101037 134716 202074 235753 404148 471506 707259 943012 976691 1414518 1953382 2829036 2930073 3906764 5860146 6836837 11720292 13673674 20510511 27347348 41021022 82042044