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45405126 = 23213296691
BaseRepresentation
bin1010110100110…
…1001111000110
310011102211010100
42231031033012
543110431001
64301104530
71060636314
oct255151706
9104384110
1045405126
11236a25a8
1213258146
139539b50
14605d0b4
153ebd586
hex2b4d3c6

45405126 has 48 divisors (see below), whose sum is σ = 109614960. Its totient is φ = 13487040.

The previous prime is 45405121. The next prime is 45405127. The reversal of 45405126 is 62150454.

It is a self number, because there is not a number n which added to its sum of digits gives 45405126.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45405121) 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, 3441 + ... + 10131.

It is an arithmetic number, because the mean of its divisors is an integer number (2283645).

Almost surely, 245405126 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45405126, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54807480).

45405126 is an abundant number, since it is smaller than the sum of its proper divisors (64209834).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

45405126 is a wasteful number, since it uses less digits than its factorization.

45405126 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6741 (or 6738 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 45405126 is about 6738.3325830653. The cubic root of 45405126 is about 356.7535431464.

The spelling of 45405126 in words is "forty-five million, four hundred five thousand, one hundred twenty-six".

Divisors: 1 2 3 6 9 13 18 26 29 39 58 78 87 117 174 234 261 377 522 754 1131 2262 3393 6691 6786 13382 20073 40146 60219 86983 120438 173966 194039 260949 388078 521898 582117 782847 1164234 1565694 1746351 2522507 3492702 5045014 7567521 15135042 22702563 45405126