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83366541 = 3211381973
BaseRepresentation
bin1001111100000…
…01001010001101
312210212110101200
410332001022031
5132320212131
612134500113
72031414066
oct476011215
9183773350
1083366541
1143070575
1223b04639
131436b81b
14b10156d
1574bb2e6
hex4f8128d

83366541 has 12 divisors (see below), whose sum is σ = 121485468. Its totient is φ = 55085184.

The previous prime is 83366531. The next prime is 83366557. The reversal of 83366541 is 14566338.

83366541 is a `hidden beast` number, since 83 + 36 + 6 + 541 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 6734025 + 76632516 = 2595^2 + 8754^2 .

It is not a de Polignac number, because 83366541 - 29 = 83366029 is a prime.

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

It is a junction number, because it is equal to n+sod(n) for n = 83366496 and 83366505.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83366531) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 39970 + ... + 42003.

It is an arithmetic number, because the mean of its divisors is an integer number (10123789).

Almost surely, 283366541 is an apocalyptic number.

It is an amenable number.

83366541 is a deficient number, since it is larger than the sum of its proper divisors (38118927).

83366541 is a wasteful number, since it uses less digits than its factorization.

83366541 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82092 (or 82089 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

The square root of 83366541 is about 9130.5279694002. The cubic root of 83366541 is about 436.8482438009.

The spelling of 83366541 in words is "eighty-three million, three hundred sixty-six thousand, five hundred forty-one".

Divisors: 1 3 9 113 339 1017 81973 245919 737757 9262949 27788847 83366541