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53112345 = 35112132251
BaseRepresentation
bin1100101010011…
…0111000011001
310200221101102220
43022212320121
5102044043340
65134214253
71213306326
oct312467031
9120841386
1053112345
1127a87100
1215954389
13b007c30
1470a7b4d
1549e1ed0
hex32a6e19

53112345 has 48 divisors (see below), whose sum is σ = 100637376. Its totient is φ = 23760000.

The previous prime is 53112341. The next prime is 53112349. The reversal of 53112345 is 54321135.

53112345 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (53112341) and next prime (53112349).

It is not a de Polignac number, because 53112345 - 22 = 53112341 is a prime.

It is a hoax number, since the sum of its digits (24) 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 (53112341) 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 47 ways as a sum of consecutive naturals, for example, 22470 + ... + 24720.

It is an arithmetic number, because the mean of its divisors is an integer number (2096612).

Almost surely, 253112345 is an apocalyptic number.

53112345 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

53112345 is a deficient number, since it is larger than the sum of its proper divisors (47525031).

53112345 is a wasteful number, since it uses less digits than its factorization.

53112345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2294 (or 2283 counting only the distinct ones).

The product of its digits is 1800, while the sum is 24.

The square root of 53112345 is about 7287.8216910130. The cubic root of 53112345 is about 375.8937968688.

The spelling of 53112345 in words is "fifty-three million, one hundred twelve thousand, three hundred forty-five".

Divisors: 1 3 5 11 13 15 33 39 55 65 121 143 165 195 363 429 605 715 1573 1815 2145 2251 4719 6753 7865 11255 23595 24761 29263 33765 74283 87789 123805 146315 272371 321893 371415 438945 817113 965679 1361855 1609465 3540823 4085565 4828395 10622469 17704115 53112345