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45984484 = 227131961109
BaseRepresentation
bin1010111101101…
…0101011100100
310012112020212001
42233122223210
543233000414
64321335044
71065601360
oct257325344
9105466761
1045984484
1123a58907
1213497484
1396b0770
1461702a0
154085074
hex2bdaae4

45984484 has 96 divisors (see below), whose sum is σ = 106937600. Its totient is φ = 16796160.

The previous prime is 45984469. The next prime is 45984539. The reversal of 45984484 is 48448954.

It is a super-2 number, since 2×459844842 = 4229145537492512, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 421822 + ... + 421930.

Almost surely, 245984484 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 45984484, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53468800).

45984484 is an abundant number, since it is smaller than the sum of its proper divisors (60953116).

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

45984484 is a wasteful number, since it uses less digits than its factorization.

45984484 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213 (or 211 counting only the distinct ones).

The product of its digits is 737280, while the sum is 46.

The square root of 45984484 is about 6781.1860319564. The cubic root of 45984484 is about 358.2644966504.

The spelling of 45984484 in words is "forty-five million, nine hundred eighty-four thousand, four hundred eighty-four".

Divisors: 1 2 4 7 13 14 19 26 28 38 52 61 76 91 109 122 133 182 218 244 247 266 364 427 436 494 532 763 793 854 988 1159 1417 1526 1586 1708 1729 2071 2318 2834 3052 3172 3458 4142 4636 5551 5668 6649 6916 8113 8284 9919 11102 13298 14497 15067 16226 19838 22204 26596 26923 28994 30134 32452 39676 46543 53846 57988 60268 86437 93086 105469 107692 126331 172874 186172 188461 210938 252662 345748 376922 421876 505324 605059 753844 884317 1210118 1642303 1768634 2420236 3284606 3537268 6569212 11496121 22992242 45984484