Search a number
-
+
45960912 = 2433106391
BaseRepresentation
bin1010111101010…
…0111011010000
310012111001112000
42233110323100
543231222122
64321034000
71065442554
oct257247320
9105431460
1045960912
1123a42128
1213485900
1396a2b0a
146165864
15407d0ac
hex2bd4ed0

45960912 has 40 divisors (see below), whose sum is σ = 131926080. Its totient is φ = 15320160.

The previous prime is 45960899. The next prime is 45960961. The reversal of 45960912 is 21906954.

45960912 is a `hidden beast` number, since 45 + 9 + 609 + 1 + 2 = 666.

It is a super-2 number, since 2×459609122 = 4224810863743488, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 52764 + ... + 53627.

It is an arithmetic number, because the mean of its divisors is an integer number (3298152).

Almost surely, 245960912 is an apocalyptic number.

It is an amenable number.

45960912 is an abundant number, since it is smaller than the sum of its proper divisors (85965168).

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

45960912 is a wasteful number, since it uses less digits than its factorization.

45960912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106408 (or 106396 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 45960912 is about 6779.4477651207. The cubic root of 45960912 is about 358.2032698090.

The spelling of 45960912 in words is "forty-five million, nine hundred sixty thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 106391 212782 319173 425564 638346 851128 957519 1276692 1702256 1915038 2553384 2872557 3830076 5106768 5745114 7660152 11490228 15320304 22980456 45960912