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45638740 = 2257417951
BaseRepresentation
bin1010111000011…
…0010001010100
310011212200120201
42232012101110
543140414430
64310110244
71062631360
oct256062124
9104780521
1045638740
1123842074
121334b384
1395bc294
1460c02a0
1540178ca
hex2b86454

45638740 has 48 divisors (see below), whose sum is σ = 112218624. Its totient is φ = 15264000.

The previous prime is 45638731. The next prime is 45638753. The reversal of 45638740 is 4783654.

It is a self number, because there is not a number n which added to its sum of digits gives 45638740.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1765 + ... + 9715.

It is an arithmetic number, because the mean of its divisors is an integer number (2337888).

Almost surely, 245638740 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 45638740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56109312).

45638740 is an abundant number, since it is smaller than the sum of its proper divisors (66579884).

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

45638740 is a wasteful number, since it uses less digits than its factorization.

45638740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8008 (or 8006 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 37.

The square root of 45638740 is about 6755.6450469219. The cubic root of 45638740 is about 357.3643412456.

The spelling of 45638740 in words is "forty-five million, six hundred thirty-eight thousand, seven hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 41 70 82 140 164 205 287 410 574 820 1148 1435 2870 5740 7951 15902 31804 39755 55657 79510 111314 159020 222628 278285 325991 556570 651982 1113140 1303964 1629955 2281937 3259910 4563874 6519820 9127748 11409685 22819370 45638740