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82975840 = 2553116729
BaseRepresentation
bin1001111001000…
…01110001100000
312210010121110021
410330201301200
5132220211330
612122243224
72025166033
oct474416140
9183117407
1082975840
1142923a82
1223956514
1314262a3c
14b03d01a
15744067a
hex4f21c60

82975840 has 48 divisors (see below), whose sum is σ = 202366080. Its totient is φ = 32117760.

The previous prime is 82975819. The next prime is 82975891. The reversal of 82975840 is 4857928.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3405 + ... + 13324.

It is an arithmetic number, because the mean of its divisors is an integer number (4215960).

Almost surely, 282975840 is an apocalyptic number.

82975840 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

82975840 is an abundant number, since it is smaller than the sum of its proper divisors (119390240).

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

82975840 is a wasteful number, since it uses less digits than its factorization.

82975840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16775 (or 16767 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 43.

The square root of 82975840 is about 9109.1075303786. The cubic root of 82975840 is about 436.1647386898.

The spelling of 82975840 in words is "eighty-two million, nine hundred seventy-five thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 16 20 31 32 40 62 80 124 155 160 248 310 496 620 992 1240 2480 4960 16729 33458 66916 83645 133832 167290 267664 334580 518599 535328 669160 1037198 1338320 2074396 2592995 2676640 4148792 5185990 8297584 10371980 16595168 20743960 41487920 82975840