Search a number
-
+
45912840 = 2335537219
BaseRepresentation
bin1010111100100…
…1001100001000
310012101121120120
42233021030020
543223202330
64320023240
71065152451
oct257111410
9105347516
1045912840
1123a09aa6
1213461b20
139686c7c
146152128
15406dc10
hex2bc9308

45912840 has 64 divisors (see below), whose sum is σ = 140356800. Its totient is φ = 12010752.

The previous prime is 45912833. The next prime is 45912851. The reversal of 45912840 is 4821954.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 2751 + ... + 9969.

It is an arithmetic number, because the mean of its divisors is an integer number (2193075).

Almost surely, 245912840 is an apocalyptic number.

45912840 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 45912840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70178400).

45912840 is an abundant number, since it is smaller than the sum of its proper divisors (94443960).

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

45912840 is a wasteful number, since it uses less digits than its factorization.

45912840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7286 (or 7282 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 33.

The square root of 45912840 is about 6775.9014160479. The cubic root of 45912840 is about 358.0783407927.

The spelling of 45912840 in words is "forty-five million, nine hundred twelve thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 53 60 106 120 159 212 265 318 424 530 636 795 1060 1272 1590 2120 3180 6360 7219 14438 21657 28876 36095 43314 57752 72190 86628 108285 144380 173256 216570 288760 382607 433140 765214 866280 1147821 1530428 1913035 2295642 3060856 3826070 4591284 5739105 7652140 9182568 11478210 15304280 22956420 45912840