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45726460 = 22513397443
BaseRepresentation
bin1010111001101…
…1101011111100
310012001010220121
42232123223330
543201221320
64312024324
71063445203
oct256335374
9105033817
1045726460
11238a1a6a
12133920a4
1396201a0
14610423a
1540338aa
hex2b9bafc

45726460 has 48 divisors (see below), whose sum is σ = 103906656. Its totient is φ = 16803072.

The previous prime is 45726451. The next prime is 45726463. The reversal of 45726460 is 6462754.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45726463) 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 15 ways as a sum of consecutive naturals, for example, 102999 + ... + 103441.

It is an arithmetic number, because the mean of its divisors is an integer number (2164722).

Almost surely, 245726460 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 45726460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51953328).

45726460 is an abundant number, since it is smaller than the sum of its proper divisors (58180196).

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

45726460 is a wasteful number, since it uses less digits than its factorization.

45726460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 862 (or 860 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 34.

The square root of 45726460 is about 6762.1342784656. The cubic root of 45726460 is about 357.5931522461.

The spelling of 45726460 in words is "forty-five million, seven hundred twenty-six thousand, four hundred sixty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 397 443 794 886 1588 1772 1985 2215 3970 4430 5161 5759 7940 8860 10322 11518 20644 23036 25805 28795 51610 57590 103220 115180 175871 351742 703484 879355 1758710 2286323 3517420 4572646 9145292 11431615 22863230 45726460