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82313472 = 283195641
BaseRepresentation
bin1001110100000…
…00000100000000
312201212221212010
410322000010000
5132033012342
612100132520
72016436653
oct472000400
9181787763
1082313472
114251136a
1223697140
13140903c7
14ad0989a
15735e29c
hex4e80100

82313472 has 72 divisors (see below), whose sum is σ = 230644960. Its totient is φ = 25989120.

The previous prime is 82313467. The next prime is 82313501. The reversal of 82313472 is 27431328.

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, 11772 + ... + 17412.

Almost surely, 282313472 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 82313472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115322480).

82313472 is an abundant number, since it is smaller than the sum of its proper divisors (148331488).

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

82313472 is a wasteful number, since it uses less digits than its factorization.

82313472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5679 (or 5665 counting only the distinct ones).

The product of its digits is 8064, while the sum is 30.

The square root of 82313472 is about 9072.6772233999. The cubic root of 82313472 is about 435.0010516555.

The spelling of 82313472 in words is "eighty-two million, three hundred thirteen thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 96 114 128 152 192 228 256 304 384 456 608 768 912 1216 1824 2432 3648 4864 5641 7296 11282 14592 16923 22564 33846 45128 67692 90256 107179 135384 180512 214358 270768 321537 361024 428716 541536 643074 722048 857432 1083072 1286148 1444096 1714864 2166144 2572296 3429728 4332288 5144592 6859456 10289184 13718912 20578368 27437824 41156736 82313472