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45727936 = 261136323
BaseRepresentation
bin1010111001110…
…0000011000000
310012001012221021
42232130003000
543201243221
64312035224
71063452412
oct256340300
9105035837
1045727936
11238a3091
1213392b14
139620a67
1461049b2
154034041
hex2b9c0c0

45727936 has 28 divisors (see below), whose sum is σ = 91558872. Its totient is φ = 22658048.

The previous prime is 45727931. The next prime is 45727949. The reversal of 45727936 is 63972754.

It is a junction number, because it is equal to n+sod(n) for n = 45727892 and 45727901.

It is not an unprimeable number, because it can be changed into a prime (45727931) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4071 + ... + 10393.

Almost surely, 245727936 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 45727936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45779436).

45727936 is an abundant number, since it is smaller than the sum of its proper divisors (45830936).

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

45727936 is a wasteful number, since it uses less digits than its factorization.

45727936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6448 (or 6438 counting only the distinct ones).

The product of its digits is 317520, while the sum is 43.

The square root of 45727936 is about 6762.2434147256. The cubic root of 45727936 is about 357.5969997763.

The spelling of 45727936 in words is "forty-five million, seven hundred twenty-seven thousand, nine hundred thirty-six".

Divisors: 1 2 4 8 16 32 64 113 226 452 904 1808 3616 6323 7232 12646 25292 50584 101168 202336 404672 714499 1428998 2857996 5715992 11431984 22863968 45727936