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83053125 = 32552953
BaseRepresentation
bin1001111001101…
…00101001000101
312210021112110200
410330310221011
5132230200000
612124041113
72025640251
oct474645105
9183245420
1083053125
1142977051
1223993199
131428bc7c
14b05d261
157458500
hex4f34a45

83053125 has 36 divisors (see below), whose sum is σ = 149998212. Its totient is φ = 44280000.

The previous prime is 83053121. The next prime is 83053127. The reversal of 83053125 is 52135038.

It can be written as a sum of positive squares in 6 ways, for example, as 56520324 + 26532801 = 7518^2 + 5151^2 .

It is not a de Polignac number, because 83053125 - 22 = 83053121 is a prime.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83053121) 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 35 ways as a sum of consecutive naturals, for example, 26649 + ... + 29601.

It is an arithmetic number, because the mean of its divisors is an integer number (4166617).

Almost surely, 283053125 is an apocalyptic number.

It is an amenable number.

83053125 is a deficient number, since it is larger than the sum of its proper divisors (66945087).

83053125 is an equidigital number, since it uses as much as digits as its factorization.

83053125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2984 (or 2961 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 83053125 is about 9113.3487259075. The cubic root of 83053125 is about 436.3001135634.

The spelling of 83053125 in words is "eighty-three million, fifty-three thousand, one hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 75 125 225 375 625 1125 1875 2953 3125 5625 8859 9375 14765 26577 28125 44295 73825 132885 221475 369125 664425 1107375 1845625 3322125 5536875 9228125 16610625 27684375 83053125