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45591040 = 295111619
BaseRepresentation
bin1010110111101…
…0101000000000
310011210021011001
42231322220000
543132403130
64305101344
71062342325
oct255725000
9104707131
1045591040
112380a250
1213327854
1395a3661
1460aab4c
1540086ca
hex2b7aa00

45591040 has 80 divisors (see below), whose sum is σ = 119322720. Its totient is φ = 16568320.

The previous prime is 45591031. The next prime is 45591041. The reversal of 45591040 is 4019554.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (45591041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27351 + ... + 28969.

It is an arithmetic number, because the mean of its divisors is an integer number (1491534).

Almost surely, 245591040 is an apocalyptic number.

45591040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45591040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59661360).

45591040 is an abundant number, since it is smaller than the sum of its proper divisors (73731680).

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

45591040 is a wasteful number, since it uses less digits than its factorization.

45591040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1653 (or 1637 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 28.

The square root of 45591040 is about 6752.1137431178. The cubic root of 45591040 is about 357.2397963140.

The spelling of 45591040 in words is "forty-five million, five hundred ninety-one thousand, forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 128 160 176 220 256 320 352 440 512 640 704 880 1280 1408 1619 1760 2560 2816 3238 3520 5632 6476 7040 8095 12952 14080 16190 17809 25904 28160 32380 35618 51808 64760 71236 89045 103616 129520 142472 178090 207232 259040 284944 356180 414464 518080 569888 712360 828928 1036160 1139776 1424720 2072320 2279552 2849440 4144640 4559104 5698880 9118208 11397760 22795520 45591040