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83682801 = 347114551
BaseRepresentation
bin1001111110011…
…10010111110001
312211110112020000
410333032113301
5132410322201
612145340213
72034202116
oct477162761
9184415200
1083682801
1143267144
1224037669
131444c767
14b18490d
15752ed86
hex4fce5f1

83682801 has 20 divisors (see below), whose sum is σ = 126777024. Its totient is φ = 54999000.

The previous prime is 83682791. The next prime is 83682803. The reversal of 83682801 is 10828638.

It is not a de Polignac number, because 83682801 - 25 = 83682769 is a prime.

It is a super-2 number, since 2×836828012 = 14005622366411202, which contains 22 as substring.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (83682803) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1525 + ... + 13026.

Almost surely, 283682801 is an apocalyptic number.

83682801 is a gapful number since it is divisible by the number (81) formed by its first and last digit.

It is an amenable number.

83682801 is a deficient number, since it is larger than the sum of its proper divisors (43094223).

83682801 is a wasteful number, since it uses less digits than its factorization.

83682801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14634 (or 14625 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 83682801 is about 9147.8303985153. The cubic root of 83682801 is about 437.3999570978.

The spelling of 83682801 in words is "eighty-three million, six hundred eighty-two thousand, eight hundred one".

Divisors: 1 3 9 27 71 81 213 639 1917 5751 14551 43653 130959 392877 1033121 1178631 3099363 9298089 27894267 83682801