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45364920 = 2335378041
BaseRepresentation
bin1010110100001…
…1011010111000
310011100202222020
42231003122320
543103134140
64300154440
71060411146
oct255033270
9104322866
1045364920
1123675377
1213238a20
139524763
14604c596
153eb16d0
hex2b436b8

45364920 has 32 divisors (see below), whose sum is σ = 136095120. Its totient is φ = 12097280.

The previous prime is 45364883. The next prime is 45364927. The reversal of 45364920 is 2946354.

45364920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (33) 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 (45364927) 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 7 ways as a sum of consecutive naturals, for example, 188901 + ... + 189140.

Almost surely, 245364920 is an apocalyptic number.

45364920 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45364920 is an abundant number, since it is smaller than the sum of its proper divisors (90730200).

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

45364920 is a wasteful number, since it uses less digits than its factorization.

45364920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 378055 (or 378051 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 33.

The square root of 45364920 is about 6735.3485433198. The cubic root of 45364920 is about 356.6482109218.

The spelling of 45364920 in words is "forty-five million, three hundred sixty-four thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 378041 756082 1134123 1512164 1890205 2268246 3024328 3780410 4536492 5670615 7560820 9072984 11341230 15121640 22682460 45364920