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83490516 = 22322319181
BaseRepresentation
bin1001111100111…
…11011011010100
312211002202110100
410332133123110
5132333144031
612141254100
72032441404
oct476373324
9184082410
1083490516
114314572a
1223b64330
13143b3095
14b134804
1574e2de6
hex4f9f6d4

83490516 has 18 divisors (see below), whose sum is σ = 211045562. Its totient is φ = 27830160.

The previous prime is 83490499. The next prime is 83490521. The reversal of 83490516 is 61509438.

It can be written as a sum of positive squares in only one way, i.e., 80030916 + 3459600 = 8946^2 + 1860^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 2319181 = 83490516 / (8 + 3 + 4 + 9 + 0 + 5 + 1 + 6).

It is a congruent number.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 1159555 + ... + 1159626.

Almost surely, 283490516 is an apocalyptic number.

It is an amenable number.

83490516 is an abundant number, since it is smaller than the sum of its proper divisors (127555046).

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

83490516 is a wasteful number, since it uses less digits than its factorization.

83490516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2319191 (or 2319186 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 83490516 is about 9137.3144851209. The cubic root of 83490516 is about 437.0646832987.

The spelling of 83490516 in words is "eighty-three million, four hundred ninety thousand, five hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 36 2319181 4638362 6957543 9276724 13915086 20872629 27830172 41745258 83490516