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46113040 = 2451135101
BaseRepresentation
bin1010111111101…
…0000100010000
310012202210012101
42233322010100
543301104130
64324210144
71066645231
oct257720420
9105683171
1046113040
1124036456
1213539954
13972712c
1461a5088
1540ad1ca
hex2bfa110

46113040 has 40 divisors (see below), whose sum is σ = 108182808. Its totient is φ = 18278400.

The previous prime is 46113037. The next prime is 46113049. The reversal of 46113040 is 4031164.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 6574096 + 39538944 = 2564^2 + 6288^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a hoax number, since the sum of its digits (19) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 46112999 and 46113017.

It is not an unprimeable number, because it can be changed into a prime (46113049) 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, 6490 + ... + 11590.

Almost surely, 246113040 is an apocalyptic number.

46113040 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 46113040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54091404).

46113040 is an abundant number, since it is smaller than the sum of its proper divisors (62069768).

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

46113040 is a wasteful number, since it uses less digits than its factorization.

46113040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5227 (or 5221 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 46113040 is about 6790.6582891499. The cubic root of 46113040 is about 358.5980453719.

The spelling of 46113040 in words is "forty-six million, one hundred thirteen thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 113 226 452 565 904 1130 1808 2260 4520 5101 9040 10202 20404 25505 40808 51010 81616 102020 204040 408080 576413 1152826 2305652 2882065 4611304 5764130 9222608 11528260 23056520 46113040