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83681616 = 24317102551
BaseRepresentation
bin1001111110011…
…10000101010000
312211110110121010
410333032011100
5132410302431
612145330520
72034165504
oct477160520
9184413533
1083681616
1143266267
1224036a40
131444c065
14b184304
15752e846
hex4fce150

83681616 has 40 divisors (see below), whose sum is σ = 228896064. Its totient is φ = 26252800.

The previous prime is 83681581. The next prime is 83681623. The reversal of 83681616 is 61618638.

It is a super-2 number, since 2×836816162 = 14005225712742912, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

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, 50460 + ... + 52091.

Almost surely, 283681616 is an apocalyptic number.

It is an amenable number.

83681616 is an abundant number, since it is smaller than the sum of its proper divisors (145214448).

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

83681616 is a wasteful number, since it uses less digits than its factorization.

83681616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102579 (or 102573 counting only the distinct ones).

The product of its digits is 41472, while the sum is 39.

The square root of 83681616 is about 9147.7656288298. The cubic root of 83681616 is about 437.3978924704.

The spelling of 83681616 in words is "eighty-three million, six hundred eighty-one thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 17 24 34 48 51 68 102 136 204 272 408 816 102551 205102 307653 410204 615306 820408 1230612 1640816 1743367 2461224 3486734 4922448 5230101 6973468 10460202 13946936 20920404 27893872 41840808 83681616