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45364540 = 225131491171
BaseRepresentation
bin1010110100001…
…1010100111100
310011100202110011
42231003110330
543103131130
64300153004
71060410064
oct255032474
9104322404
1045364540
1123675061
1213238764
139524530
14604c3a4
153eb152a
hex2b4353c

45364540 has 48 divisors (see below), whose sum is σ = 103370400. Its totient is φ = 16623360.

The previous prime is 45364531. The next prime is 45364547. The reversal of 45364540 is 4546354.

45364540 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45364547) 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 15 ways as a sum of consecutive naturals, for example, 38155 + ... + 39325.

It is an arithmetic number, because the mean of its divisors is an integer number (2153550).

Almost surely, 245364540 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45364540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51685200).

45364540 is an abundant number, since it is smaller than the sum of its proper divisors (58005860).

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

45364540 is a wasteful number, since it uses less digits than its factorization.

45364540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1342 (or 1340 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 31.

The square root of 45364540 is about 6735.3203338817. The cubic root of 45364540 is about 356.6472150959.

The spelling of 45364540 in words is "forty-five million, three hundred sixty-four thousand, five hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 149 260 298 596 745 1171 1490 1937 2342 2980 3874 4684 5855 7748 9685 11710 15223 19370 23420 30446 38740 60892 76115 152230 174479 304460 348958 697916 872395 1744790 2268227 3489580 4536454 9072908 11341135 22682270 45364540