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45732672 = 263279397
BaseRepresentation
bin1010111001110…
…1001101000000
310012001110102200
42232131031000
543201421142
64312113200
71063502256
oct256351500
9105043380
1045732672
11238a66a7
1213395800
139622c6b
1461065d6
15403564c
hex2b9d340

45732672 has 42 divisors (see below), whose sum is σ = 131086098. Its totient is φ = 15244032.

The previous prime is 45732667. The next prime is 45732679. The reversal of 45732672 is 27623754.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 33454656 + 12278016 = 5784^2 + 3504^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45732679) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 39123 + ... + 40274.

Almost surely, 245732672 is an apocalyptic number.

It is an amenable number.

45732672 is an abundant number, since it is smaller than the sum of its proper divisors (85353426).

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

45732672 is a wasteful number, since it uses less digits than its factorization.

45732672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79415 (or 79402 counting only the distinct ones).

The product of its digits is 70560, while the sum is 36.

The square root of 45732672 is about 6762.5935853044. The cubic root of 45732672 is about 357.6093446802.

The spelling of 45732672 in words is "forty-five million, seven hundred thirty-two thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 79397 158794 238191 317588 476382 635176 714573 952764 1270352 1429146 1905528 2540704 2858292 3811056 5081408 5716584 7622112 11433168 15244224 22866336 45732672