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46045132 = 22719412111
BaseRepresentation
bin1010111110100…
…1011111001100
310012122100001021
42233221133030
543241421012
64322523524
71066243240
oct257513714
9105570037
1046045132
1123a9a431
12135065a4
139702253
146188420
154098007
hex2be97cc

46045132 has 48 divisors (see below), whose sum is σ = 99348480. Its totient is φ = 18230400.

The previous prime is 46045121. The next prime is 46045157. The reversal of 46045132 is 23154064.

It is a junction number, because it is equal to n+sod(n) for n = 46045097 and 46045106.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20757 + ... + 22867.

It is an arithmetic number, because the mean of its divisors is an integer number (2069760).

Almost surely, 246045132 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 46045132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49674240).

46045132 is an abundant number, since it is smaller than the sum of its proper divisors (53303348).

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

46045132 is a wasteful number, since it uses less digits than its factorization.

46045132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2182 (or 2180 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

The square root of 46045132 is about 6785.6563426098. The cubic root of 46045132 is about 358.4219300430.

Adding to 46045132 its reverse (23154064), we get a palindrome (69199196).

The spelling of 46045132 in words is "forty-six million, forty-five thousand, one hundred thirty-two".

Divisors: 1 2 4 7 14 19 28 38 41 76 82 133 164 266 287 532 574 779 1148 1558 2111 3116 4222 5453 8444 10906 14777 21812 29554 40109 59108 80218 86551 160436 173102 280763 346204 561526 605857 1123052 1211714 1644469 2423428 3288938 6577876 11511283 23022566 46045132