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83039652 = 223219121403
BaseRepresentation
bin1001111001100…
…01010110100100
312210020211222200
410330301112210
5132224232102
612123454500
72025553053
oct474612644
9183224880
1083039652
1142967a13
1223987430
1314285ab7
14b05839a
15745451c
hex4f315a4

83039652 has 36 divisors (see below), whose sum is σ = 220955280. Its totient is φ = 26222832.

The previous prime is 83039651. The next prime is 83039657. The reversal of 83039652 is 25693038.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-3 number, since 3×830396523 (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (83039651) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 60018 + ... + 61385.

Almost surely, 283039652 is an apocalyptic number.

It is an amenable number.

83039652 is an abundant number, since it is smaller than the sum of its proper divisors (137915628).

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

83039652 is a wasteful number, since it uses less digits than its factorization.

83039652 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121432 (or 121427 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 83039652 is about 9112.6095055149. The cubic root of 83039652 is about 436.2765198723.

It can be divided in two parts, 8303 and 9652, that added together give a triangular number (17955 = T189).

The spelling of 83039652 in words is "eighty-three million, thirty-nine thousand, six hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 114 171 228 342 684 121403 242806 364209 485612 728418 1092627 1456836 2185254 2306657 4370508 4613314 6919971 9226628 13839942 20759913 27679884 41519826 83039652