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45934057 = 132937289
BaseRepresentation
bin1010111100111…
…0010111101001
310012102200200101
42233032113221
543224342212
64320305401
71065301351
oct257162751
9105380611
1045934057
1123a23a34
1213472261
139693820
146159b61
154075157
hex2bce5e9

45934057 has 24 divisors (see below), whose sum is σ = 53184600. Its totient is φ = 39384576.

The previous prime is 45934043. The next prime is 45934073. The reversal of 45934057 is 75043954.

It can be written as a sum of positive squares in 12 ways, for example, as 3671056 + 42263001 = 1916^2 + 6501^2 .

It is not a de Polignac number, because 45934057 - 211 = 45932009 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45934027) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 516069 + ... + 516157.

It is an arithmetic number, because the mean of its divisors is an integer number (2216025).

Almost surely, 245934057 is an apocalyptic number.

It is an amenable number.

45934057 is a deficient number, since it is larger than the sum of its proper divisors (7250543).

45934057 is a wasteful number, since it uses less digits than its factorization.

45934057 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 37.

The square root of 45934057 is about 6777.4668571672. The cubic root of 45934057 is about 358.1334900580.

The spelling of 45934057 in words is "forty-five million, nine hundred thirty-four thousand, fifty-seven".

Divisors: 1 13 29 37 89 377 481 1073 1157 1369 2581 3293 13949 17797 33553 39701 42809 95497 121841 516113 1241461 1583933 3533389 45934057