Search a number
-
+
85303125 = 3455337
BaseRepresentation
bin1010001010110…
…01111101010101
312221111211220000
411011121331111
5133314200000
612244201513
72054031105
oct505317525
9187454800
1085303125
1144173556
1224699299
131489912b
14b487205
157750000
hex5159f55

85303125 has 60 divisors (see below), whose sum is σ = 159747588. Its totient is φ = 45360000.

The previous prime is 85303111. The next prime is 85303151. The reversal of 85303125 is 52130358.

85303125 is a `hidden beast` number, since 8 + 530 + 3 + 125 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 77316849 + 7986276 = 8793^2 + 2826^2 .

It is not a de Polignac number, because 85303125 - 24 = 85303109 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nialpdrome in base 15.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 252957 + ... + 253293.

Almost surely, 285303125 is an apocalyptic number.

It is an amenable number.

85303125 is a deficient number, since it is larger than the sum of its proper divisors (74444463).

85303125 is an frugal number, since it uses more digits than its factorization.

85303125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 374 (or 345 counting only the distinct ones).

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

The square root of 85303125 is about 9235.9690882982. The cubic root of 85303125 is about 440.2050094925.

The spelling of 85303125 in words is "eighty-five million, three hundred three thousand, one hundred twenty-five".

Divisors: 1 3 5 9 15 25 27 45 75 81 125 135 225 337 375 405 625 675 1011 1125 1685 1875 2025 3033 3125 3375 5055 5625 8425 9099 9375 10125 15165 16875 25275 27297 28125 42125 45495 50625 75825 84375 126375 136485 210625 227475 253125 379125 631875 682425 1053125 1137375 1895625 3159375 3412125 5686875 9478125 17060625 28434375 85303125