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45727038 = 2337137883
BaseRepresentation
bin1010111001101…
…1110100111110
310012001011201000
42232123310332
543201231123
64312031130
71063446660
oct256336476
9105034630
1045727038
11238a2445
12133924a6
139620526
146104530
154033b43
hex2b9bd3e

45727038 has 64 divisors (see below), whose sum is σ = 117112320. Its totient is φ = 12954816.

The previous prime is 45727037. The next prime is 45727039. The reversal of 45727038 is 83072754.

It is an interprime number because it is at equal distance from previous prime (45727037) and next prime (45727039).

It is a junction number, because it is equal to n+sod(n) for n = 45726993 and 45727011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45727037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 51345 + ... + 52227.

It is an arithmetic number, because the mean of its divisors is an integer number (1829880).

Almost surely, 245727038 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45727038, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58556160).

45727038 is an abundant number, since it is smaller than the sum of its proper divisors (71385282).

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

45727038 is a wasteful number, since it uses less digits than its factorization.

45727038 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1038 (or 1032 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The square root of 45727038 is about 6762.1770163166. The cubic root of 45727038 is about 357.5946589446.

It can be divided in two parts, 457 and 27038, that added together give a triangular number (27495 = T234).

The spelling of 45727038 in words is "forty-five million, seven hundred twenty-seven thousand, thirty-eight".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 126 137 189 274 378 411 822 883 959 1233 1766 1918 2466 2649 2877 3699 5298 5754 6181 7398 7947 8631 12362 15894 17262 18543 23841 25893 37086 47682 51786 55629 111258 120971 166887 241942 333774 362913 725826 846797 1088739 1693594 2177478 2540391 3266217 5080782 6532434 7621173 15242346 22863519 45727038