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45734912 = 21059757
BaseRepresentation
bin1010111001110…
…1110000000000
310012001120111122
42232131300000
543202004122
64312131412
71063511636
oct256356000
9105046448
1045734912
11238a8353
1213396b68
139623ca2
146107356
154036142
hex2b9dc00

45734912 has 44 divisors (see below), whose sum is σ = 93097560. Its totient is φ = 22450176.

The previous prime is 45734893. The next prime is 45734959. The reversal of 45734912 is 21943754.

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

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, 60038 + ... + 60794.

Almost surely, 245734912 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 45734912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46548780).

45734912 is an abundant number, since it is smaller than the sum of its proper divisors (47362648).

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

45734912 is an equidigital number, since it uses as much as digits as its factorization.

45734912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 836 (or 818 counting only the distinct ones).

The product of its digits is 30240, while the sum is 35.

The square root of 45734912 is about 6762.7592002082. The cubic root of 45734912 is about 357.6151831892.

The spelling of 45734912 in words is "forty-five million, seven hundred thirty-four thousand, nine hundred twelve".

Divisors: 1 2 4 8 16 32 59 64 118 128 236 256 472 512 757 944 1024 1514 1888 3028 3776 6056 7552 12112 15104 24224 30208 44663 48448 60416 89326 96896 178652 193792 357304 387584 714608 775168 1429216 2858432 5716864 11433728 22867456 45734912