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83913165 = 345729599
BaseRepresentation
bin1010000000001…
…10100111001101
312211220020020000
411000012213031
5132440210130
612154314513
72036151540
oct500064715
9184806200
1083913165
1143404226
1224128a39
131450057b
14b204857
157578260
hex50069cd

83913165 has 40 divisors (see below), whose sum is σ = 171916800. Its totient is φ = 38359008.

The previous prime is 83913127. The next prime is 83913169. The reversal of 83913165 is 56131938.

It is a happy number.

It is not a de Polignac number, because 83913165 - 213 = 83904973 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83913169) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 11965 + ... + 17634.

It is an arithmetic number, because the mean of its divisors is an integer number (4297920).

Almost surely, 283913165 is an apocalyptic number.

It is an amenable number.

83913165 is an abundant number, since it is smaller than the sum of its proper divisors (88003635).

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

83913165 is a wasteful number, since it uses less digits than its factorization.

83913165 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29623 (or 29614 counting only the distinct ones).

The product of its digits is 19440, while the sum is 36.

The square root of 83913165 is about 9160.4129273740. The cubic root of 83913165 is about 437.8009510272.

The spelling of 83913165 in words is "eighty-three million, nine hundred thirteen thousand, one hundred sixty-five".

Divisors: 1 3 5 7 9 15 21 27 35 45 63 81 105 135 189 315 405 567 945 2835 29599 88797 147995 207193 266391 443985 621579 799173 1035965 1331955 1864737 2397519 3107895 3995865 5594211 9323685 11987595 16782633 27971055 83913165