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82532576 = 2576072
BaseRepresentation
bin1001110101101…
…01100011100000
312202022002102002
410322311203200
5132112020301
612104543132
72021341520
oct472654340
9182262362
1082532576
1142650a45
1223781aa8
1314139059
14ad65680
1573a416b
hex4eb58e0

82532576 has 36 divisors (see below), whose sum is σ = 186004728. Its totient is φ = 35312832.

The previous prime is 82532551. The next prime is 82532587. The reversal of 82532576 is 67523528.

It is a super-2 number, since 2×825325762 = 13623252202391552, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 135665 + ... + 136271.

It is an arithmetic number, because the mean of its divisors is an integer number (5166798).

Almost surely, 282532576 is an apocalyptic number.

It is an amenable number.

82532576 is an abundant number, since it is smaller than the sum of its proper divisors (103472152).

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

82532576 is an frugal number, since it uses more digits than its factorization.

82532576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1231 (or 616 counting only the distinct ones).

The product of its digits is 100800, while the sum is 38.

The square root of 82532576 is about 9084.7441350871. The cubic root of 82532576 is about 435.3866751603.

The spelling of 82532576 in words is "eighty-two million, five hundred thirty-two thousand, five hundred seventy-six".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 224 607 1214 2428 4249 4856 8498 9712 16996 19424 33992 67984 135968 368449 736898 1473796 2579143 2947592 5158286 5895184 10316572 11790368 20633144 41266288 82532576