Search a number
-
+
412414944 = 25310614049
BaseRepresentation
bin11000100101001…
…111001111100000
31001202000211221120
4120211033033200
51321034234234
6104531252240
713135316634
oct3045171740
91052024846
10412414944
111a18854a7
12b614a080
136759a416
143cab6dc4
1526317049
hex1894f3e0

412414944 has 48 divisors (see below), whose sum is σ = 1083877200. Its totient is φ = 137308160.

The previous prime is 412414943. The next prime is 412414957. The reversal of 412414944 is 449414214.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (412414943) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 99832 + ... + 103880.

It is an arithmetic number, because the mean of its divisors is an integer number (22580775).

Almost surely, 2412414944 is an apocalyptic number.

It is an amenable number.

412414944 is an abundant number, since it is smaller than the sum of its proper divisors (671462256).

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

412414944 is a wasteful number, since it uses less digits than its factorization.

412414944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5123 (or 5115 counting only the distinct ones).

The product of its digits is 18432, while the sum is 33.

The square root of 412414944 is about 20308.0019696670. The cubic root of 412414944 is about 744.3516085780.

The spelling of 412414944 in words is "four hundred twelve million, four hundred fourteen thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 1061 2122 3183 4049 4244 6366 8098 8488 12147 12732 16196 16976 24294 25464 32392 33952 48588 50928 64784 97176 101856 129568 194352 388704 4295989 8591978 12887967 17183956 25775934 34367912 51551868 68735824 103103736 137471648 206207472 412414944