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46043144 = 2372731609
BaseRepresentation
bin1010111110100…
…1000000001000
310012122020022122
42233221000020
543241340034
64322510412
71066234400
oct257510010
9105566278
1046043144
1123a98994
1213505408
139701384
146187800
15409762e
hex2be9008

46043144 has 48 divisors (see below), whose sum is σ = 101864700. Its totient is φ = 19450368.

The previous prime is 46043143. The next prime is 46043149. The reversal of 46043144 is 44134064.

It can be written as a sum of positive squares in 2 ways, for example, as 40576900 + 5466244 = 6370^2 + 2338^2 .

It is a super-2 number, since 2×460431442 = 4239942218809472, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (46043141) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 27812 + ... + 29420.

Almost surely, 246043144 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 46043144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50932350).

46043144 is an abundant number, since it is smaller than the sum of its proper divisors (55821556).

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

46043144 is a wasteful number, since it uses less digits than its factorization.

46043144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1702 (or 1691 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

The square root of 46043144 is about 6785.5098555672. The cubic root of 46043144 is about 358.4167716761.

The spelling of 46043144 in words is "forty-six million, forty-three thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 28 49 56 73 98 146 196 292 392 511 584 1022 1609 2044 3218 3577 4088 6436 7154 11263 12872 14308 22526 28616 45052 78841 90104 117457 157682 234914 315364 469828 630728 822199 939656 1644398 3288796 5755393 6577592 11510786 23021572 46043144