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82654944 = 2534320023
BaseRepresentation
bin1001110110100…
…11011011100000
312202112022021020
410323103123200
5132124424234
612111325440
72022361341
oct473233340
9182468236
1082654944
1142724979
1223820880
131417c968
14ad980c8
1573ca549
hex4ed36e0

82654944 has 48 divisors (see below), whose sum is σ = 222026112. Its totient is φ = 26909568.

The previous prime is 82654927. The next prime is 82654963. The reversal of 82654944 is 44945628.

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 82654896 and 82654905.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5884 + ... + 14139.

It is an arithmetic number, because the mean of its divisors is an integer number (4625544).

Almost surely, 282654944 is an apocalyptic number.

It is an amenable number.

82654944 is an abundant number, since it is smaller than the sum of its proper divisors (139371168).

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

82654944 is a wasteful number, since it uses less digits than its factorization.

82654944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20079 (or 20071 counting only the distinct ones).

The product of its digits is 276480, while the sum is 42.

The square root of 82654944 is about 9091.4764477504. The cubic root of 82654944 is about 435.6017461464.

The spelling of 82654944 in words is "eighty-two million, six hundred fifty-four thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 43 48 86 96 129 172 258 344 516 688 1032 1376 2064 4128 20023 40046 60069 80092 120138 160184 240276 320368 480552 640736 860989 961104 1721978 1922208 2582967 3443956 5165934 6887912 10331868 13775824 20663736 27551648 41327472 82654944