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82530444 = 223171372953
BaseRepresentation
bin1001110101101…
…01000010001100
312202021222111010
410322311002030
5132111433234
612104525220
72021332353
oct472650214
9182258433
1082530444
114264a387
1223780810
13141380a9
14ad6499a
1573a36e9
hex4eb508c

82530444 has 48 divisors (see below), whose sum is σ = 205456608. Its totient is φ = 25694208.

The previous prime is 82530421. The next prime is 82530451. The reversal of 82530444 is 44403528.

It is a super-2 number, since 2×825304442 = 13622548373674272, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26472 + ... + 29424.

It is an arithmetic number, because the mean of its divisors is an integer number (4280346).

Almost surely, 282530444 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 82530444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102728304).

82530444 is an abundant number, since it is smaller than the sum of its proper divisors (122926164).

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

82530444 is a wasteful number, since it uses less digits than its factorization.

82530444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3114 (or 3112 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

The square root of 82530444 is about 9084.6267947561. The cubic root of 82530444 is about 435.3829261259.

The spelling of 82530444 in words is "eighty-two million, five hundred thirty thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 12 17 34 51 68 102 137 204 274 411 548 822 1644 2329 2953 4658 5906 6987 8859 9316 11812 13974 17718 27948 35436 50201 100402 150603 200804 301206 404561 602412 809122 1213683 1618244 2427366 4854732 6877537 13755074 20632611 27510148 41265222 82530444