Search a number
-
+
82144736 = 253769379
BaseRepresentation
bin1001110010101…
…10110111100000
312201120101101122
410321112313200
5132012112421
612052351412
72015135012
oct471266740
9181511348
1082144736
1142406613
1223615568
131403166b
14aca41b2
1573292ab
hex4e56de0

82144736 has 24 divisors (see below), whose sum is σ = 166095720. Its totient is φ = 39961728.

The previous prime is 82144723. The next prime is 82144757. The reversal of 82144736 is 63744128.

It is a junction number, because it is equal to n+sod(n) for n = 82144696 and 82144705.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 33506 + ... + 35873.

It is an arithmetic number, because the mean of its divisors is an integer number (6920655).

Almost surely, 282144736 is an apocalyptic number.

It is an amenable number.

82144736 is an abundant number, since it is smaller than the sum of its proper divisors (83950984).

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

82144736 is a wasteful number, since it uses less digits than its factorization.

82144736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69426 (or 69418 counting only the distinct ones).

The product of its digits is 32256, while the sum is 35.

The square root of 82144736 is about 9063.3733234376. The cubic root of 82144736 is about 434.7036092572.

The spelling of 82144736 in words is "eighty-two million, one hundred forty-four thousand, seven hundred thirty-six".

Divisors: 1 2 4 8 16 32 37 74 148 296 592 1184 69379 138758 277516 555032 1110064 2220128 2567023 5134046 10268092 20536184 41072368 82144736