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45332992 = 29372393
BaseRepresentation
bin1010110011101…
…1101000000000
310011022011011201
42230323220000
543101123432
64255350544
71060216105
oct254735000
9104264151
1045332992
1123653391
1213222454
139513073
146040aac
153ea6ee7
hex2b3ba00

45332992 has 40 divisors (see below), whose sum is σ = 93064356. Its totient is φ = 22044672.

The previous prime is 45332983. The next prime is 45333017. The reversal of 45332992 is 29923354.

It can be written as a sum of positive squares in 2 ways, for example, as 44943616 + 389376 = 6704^2 + 624^2 .

It is a Harshad number since it is a multiple of its sum of digits (37).

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, 17748 + ... + 20140.

Almost surely, 245332992 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 45332992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46532178).

45332992 is an abundant number, since it is smaller than the sum of its proper divisors (47731364).

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

45332992 is an equidigital number, since it uses as much as digits as its factorization.

45332992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2448 (or 2432 counting only the distinct ones).

The product of its digits is 58320, while the sum is 37.

The square root of 45332992 is about 6732.9779444166. The cubic root of 45332992 is about 356.5645211711.

The spelling of 45332992 in words is "forty-five million, three hundred thirty-two thousand, nine hundred ninety-two".

Divisors: 1 2 4 8 16 32 37 64 74 128 148 256 296 512 592 1184 2368 2393 4736 4786 9472 9572 18944 19144 38288 76576 88541 153152 177082 306304 354164 612608 708328 1225216 1416656 2833312 5666624 11333248 22666496 45332992