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82954696 = 2311217712
BaseRepresentation
bin1001111000111…
…00100111001000
312210002112110011
410330130213020
5132214022241
612122001304
72025050266
oct474344710
9183075404
1082954696
114290a100
1223946234
1314256226
14b035436
157439281
hex4f1c9c8

82954696 has 72 divisors (see below), whose sum is σ = 183607830. Its totient is φ = 34988800.

The previous prime is 82954687. The next prime is 82954723. The reversal of 82954696 is 69645928.

It can be written as a sum of positive squares in only one way, i.e., 60996100 + 21958596 = 7810^2 + 4686^2 .

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 17 ways as a sum of consecutive naturals, for example, 1168341 + ... + 1168411.

Almost surely, 282954696 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 82954696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91803915).

82954696 is an abundant number, since it is smaller than the sum of its proper divisors (100653134).

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

82954696 is a wasteful number, since it uses less digits than its factorization.

82954696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187 (or 101 counting only the distinct ones).

The product of its digits is 933120, while the sum is 49.

The square root of 82954696 is about 9107.9468597484. The cubic root of 82954696 is about 436.1276875406.

The spelling of 82954696 in words is "eighty-two million, nine hundred fifty-four thousand, six hundred ninety-six".

Divisors: 1 2 4 8 11 17 22 34 44 68 71 88 121 136 142 187 242 284 374 484 568 748 781 968 1207 1496 1562 2057 2414 3124 4114 4828 5041 6248 8228 8591 9656 10082 13277 16456 17182 20164 26554 34364 40328 53108 55451 68728 85697 106216 110902 146047 171394 221804 292094 342788 443608 584188 609961 685576 942667 1168376 1219922 1885334 2439844 3770668 4879688 7541336 10369337 20738674 41477348 82954696