Search a number
-
+
46074944 = 26898089
BaseRepresentation
bin1010111111000…
…0110001000000
310012200211221102
42233300301000
543243344234
64323313532
71066426166
oct257606100
9105624842
1046074944
112400a873
121351b8a8
1397129a6
146195236
1540a1c7e
hex2bf0c40

46074944 has 28 divisors (see below), whose sum is σ = 92468700. Its totient is φ = 22775808.

The previous prime is 46074937. The next prime is 46074971. The reversal of 46074944 is 44947064.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 3564544 + 42510400 = 1888^2 + 6520^2 .

It is a junction number, because it is equal to n+sod(n) for n = 46074898 and 46074907.

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 3 ways as a sum of consecutive naturals, for example, 1652 + ... + 9740.

Almost surely, 246074944 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 46074944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46234350).

46074944 is an abundant number, since it is smaller than the sum of its proper divisors (46393756).

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

46074944 is an equidigital number, since it uses as much as digits as its factorization.

46074944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8190 (or 8180 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 38.

The square root of 46074944 is about 6787.8526796035. The cubic root of 46074944 is about 358.4992669866.

The spelling of 46074944 in words is "forty-six million, seventy-four thousand, nine hundred forty-four".

Divisors: 1 2 4 8 16 32 64 89 178 356 712 1424 2848 5696 8089 16178 32356 64712 129424 258848 517696 719921 1439842 2879684 5759368 11518736 23037472 46074944