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45240384 = 263741821
BaseRepresentation
bin1010110010010…
…1000001000000
310011010110010210
42230211001000
543040143014
64253354120
71056352110
oct254450100
9104113123
1045240384
112359a852
1213198940
1394acb77
146019040
153e89859
hex2b25040

45240384 has 112 divisors (see below), whose sum is σ = 140305536. Its totient is φ = 12595200.

The previous prime is 45240373. The next prime is 45240397. The reversal of 45240384 is 48304254.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 54694 + ... + 55514.

It is an arithmetic number, because the mean of its divisors is an integer number (1252728).

Almost surely, 245240384 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 45240384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70152768).

45240384 is an abundant number, since it is smaller than the sum of its proper divisors (95065152).

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

45240384 is a wasteful number, since it uses less digits than its factorization.

45240384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 884 (or 874 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

The square root of 45240384 is about 6726.0972339091. The cubic root of 45240384 is about 356.3215543559.

The spelling of 45240384 in words is "forty-five million, two hundred forty thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 41 42 48 56 64 82 84 96 112 123 164 168 192 224 246 287 328 336 448 492 574 656 672 821 861 984 1148 1312 1344 1642 1722 1968 2296 2463 2624 3284 3444 3936 4592 4926 5747 6568 6888 7872 9184 9852 11494 13136 13776 17241 18368 19704 22988 26272 27552 33661 34482 39408 45976 52544 55104 67322 68964 78816 91952 100983 134644 137928 157632 183904 201966 235627 269288 275856 367808 403932 471254 538576 551712 706881 807864 942508 1077152 1103424 1413762 1615728 1885016 2154304 2827524 3231456 3770032 5655048 6462912 7540064 11310096 15080128 22620192 45240384