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45700460 = 225131371283
BaseRepresentation
bin1010111001010…
…1010101101100
310011222211020122
42232111111230
543144403320
64311304112
71063306331
oct256252554
9104884218
1045700460
1123884483
121337b038
1396113c0
1460d8988
15402ad25
hex2b9556c

45700460 has 48 divisors (see below), whose sum is σ = 104188896. Its totient is φ = 16737792.

The previous prime is 45700451. The next prime is 45700463. The reversal of 45700460 is 6400754.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is not an unprimeable number, because it can be changed into a prime (45700463) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34979 + ... + 36261.

It is an arithmetic number, because the mean of its divisors is an integer number (2170602).

Almost surely, 245700460 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 45700460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52094448).

45700460 is an abundant number, since it is smaller than the sum of its proper divisors (58488436).

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

45700460 is a wasteful number, since it uses less digits than its factorization.

45700460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1442 (or 1440 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 26.

The square root of 45700460 is about 6760.2115351518. The cubic root of 45700460 is about 357.5253637440.

The spelling of 45700460 in words is "forty-five million, seven hundred thousand, four hundred sixty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 137 260 274 548 685 1283 1370 1781 2566 2740 3562 5132 6415 7124 8905 12830 16679 17810 25660 33358 35620 66716 83395 166790 175771 333580 351542 703084 878855 1757710 2285023 3515420 4570046 9140092 11425115 22850230 45700460