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45055720 = 2354183331
BaseRepresentation
bin1010101111011…
…1111011101000
310010210001211101
42223313323220
543013240340
64245411144
71054652533
oct253677350
9103701741
1045055720
1123484036
1213109ab4
139446ab8
145daba1a
153e4ec9a
hex2af7ee8

45055720 has 64 divisors (see below), whose sum is σ = 105416640. Its totient is φ = 17318400.

The previous prime is 45055711. The next prime is 45055723. The reversal of 45055720 is 2755054.

It is not an unprimeable number, because it can be changed into a prime (45055723) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 135955 + ... + 136285.

It is an arithmetic number, because the mean of its divisors is an integer number (1647135).

Almost surely, 245055720 is an apocalyptic number.

45055720 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 45055720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52708320).

45055720 is an abundant number, since it is smaller than the sum of its proper divisors (60360920).

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

45055720 is a wasteful number, since it uses less digits than its factorization.

45055720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 466 (or 462 counting only the distinct ones).

The product of its (nonzero) digits is 7000, while the sum is 28.

The square root of 45055720 is about 6712.3557712624. The cubic root of 45055720 is about 355.8360773750.

The spelling of 45055720 in words is "forty-five million, fifty-five thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 41 82 83 164 166 205 328 331 332 410 415 662 664 820 830 1324 1640 1655 1660 2648 3310 3320 3403 6620 6806 13240 13571 13612 17015 27142 27224 27473 34030 54284 54946 67855 68060 108568 109892 135710 136120 137365 219784 271420 274730 542840 549460 1098920 1126393 2252786 4505572 5631965 9011144 11263930 22527860 45055720