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45370968 = 233532673
BaseRepresentation
bin1010110100010…
…0111001011000
310011101002021020
42231010321120
543103332333
64300242440
71060434606
oct255047130
9104332236
1045370968
1123679975
1213240420
139527436
146050876
153eb33b3
hex2b44e58

45370968 has 48 divisors (see below), whose sum is σ = 115779720. Its totient is φ = 14816256.

The previous prime is 45370961. The next prime is 45370979. The reversal of 45370968 is 86907354.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45370961) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 67080 + ... + 67752.

Almost surely, 245370968 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 45370968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57889860).

45370968 is an abundant number, since it is smaller than the sum of its proper divisors (70408752).

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

45370968 is a wasteful number, since it uses less digits than its factorization.

45370968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 788 (or 731 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 42.

The square root of 45370968 is about 6735.7975028945. The cubic root of 45370968 is about 356.6640595301.

The spelling of 45370968 in words is "forty-five million, three hundred seventy thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 24 53 106 159 212 318 424 636 673 1272 1346 2019 2692 2809 4038 5384 5618 8076 8427 11236 16152 16854 22472 33708 35669 67416 71338 107007 142676 214014 285352 428028 856056 1890457 3780914 5671371 7561828 11342742 15123656 22685484 45370968