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46041952 = 251132347
BaseRepresentation
bin1010111110100…
…0101101100000
310012122011200111
42233220231200
543241320302
64322501104
71066231045
oct257505540
9105564614
1046041952
1123a98000
1213504794
139700978
1461871cc
1540970d7
hex2be8b60

46041952 has 96 divisors (see below), whose sum is σ = 106251264. Its totient is φ = 19592320.

The previous prime is 46041901. The next prime is 46041953. The reversal of 46041952 is 25914064.

46041952 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×460419522 = 4239722687940608, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46041953) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 979593 + ... + 979639.

It is an arithmetic number, because the mean of its divisors is an integer number (1106784).

Almost surely, 246041952 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 46041952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53125632).

46041952 is an abundant number, since it is smaller than the sum of its proper divisors (60209312).

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

46041952 is a wasteful number, since it uses less digits than its factorization.

46041952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 31.

The square root of 46041952 is about 6785.4220207737. The cubic root of 46041952 is about 358.4136786605.

It can be divided in two parts, 4604 and 1952, that added together give a palindrome (6556).

The spelling of 46041952 in words is "forty-six million, forty-one thousand, nine hundred fifty-two".

Divisors: 1 2 4 8 11 16 22 23 32 44 46 47 88 92 94 121 176 184 188 242 253 352 368 376 484 506 517 736 752 968 1012 1034 1081 1331 1504 1936 2024 2068 2162 2662 2783 3872 4048 4136 4324 5324 5566 5687 8096 8272 8648 10648 11132 11374 11891 16544 17296 21296 22264 22748 23782 30613 34592 42592 44528 45496 47564 61226 62557 89056 90992 95128 122452 125114 130801 181984 190256 244904 250228 261602 380512 489808 500456 523204 979616 1000912 1046408 1438811 2001824 2092816 2877622 4185632 5755244 11510488 23020976 46041952