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82961616 = 2434673701
BaseRepresentation
bin1001111000111…
…10010011010000
312210002212221110
410330132103100
5132214232431
612122053320
72025106413
oct474362320
9183085843
1082961616
1142914321
122394a240
131425941a
14b037b7a
15743b346
hex4f1e4d0

82961616 has 40 divisors (see below), whose sum is σ = 214834464. Its totient is φ = 27587200.

The previous prime is 82961603. The next prime is 82961623. The reversal of 82961616 is 61616928.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

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 7 ways as a sum of consecutive naturals, for example, 20566 + ... + 24266.

Almost surely, 282961616 is an apocalyptic number.

It is an amenable number.

82961616 is an abundant number, since it is smaller than the sum of its proper divisors (131872848).

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

82961616 is a wasteful number, since it uses less digits than its factorization.

82961616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4179 (or 4173 counting only the distinct ones).

The product of its digits is 31104, while the sum is 39.

The square root of 82961616 is about 9108.3267398573. The cubic root of 82961616 is about 436.1398143191.

The spelling of 82961616 in words is "eighty-two million, nine hundred sixty-one thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 48 467 934 1401 1868 2802 3701 3736 5604 7402 7472 11103 11208 14804 22206 22416 29608 44412 59216 88824 177648 1728367 3456734 5185101 6913468 10370202 13826936 20740404 27653872 41480808 82961616