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45642405 = 3547101641
BaseRepresentation
bin1010111000011…
…1001010100101
310011212212121110
42232013022211
543141024110
64310135233
71062645144
oct256071245
9104785543
1045642405
11238448a6
1213351519
1395c0b53
1460c175b
154018a20
hex2b872a5

45642405 has 32 divisors (see below), whose sum is σ = 75437568. Its totient is φ = 23552000.

The previous prime is 45642397. The next prime is 45642407. The reversal of 45642405 is 50424654.

45642405 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 45642405 - 23 = 45642397 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45642407) 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 31 ways as a sum of consecutive naturals, for example, 70885 + ... + 71525.

It is an arithmetic number, because the mean of its divisors is an integer number (2357424).

Almost surely, 245642405 is an apocalyptic number.

It is an amenable number.

45642405 is a deficient number, since it is larger than the sum of its proper divisors (29795163).

45642405 is a wasteful number, since it uses less digits than its factorization.

45642405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 797.

The product of its (nonzero) digits is 19200, while the sum is 30.

The square root of 45642405 is about 6755.9162961067. The cubic root of 45642405 is about 357.3739069877.

The spelling of 45642405 in words is "forty-five million, six hundred forty-two thousand, four hundred five".

Divisors: 1 3 5 15 47 101 141 235 303 505 641 705 1515 1923 3205 4747 9615 14241 23735 30127 64741 71205 90381 150635 194223 323705 451905 971115 3042827 9128481 15214135 45642405