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45642416 = 2417315413
BaseRepresentation
bin1010111000011…
…1001010110000
310011212212121212
42232013022300
543141024131
64310135252
71062645161
oct256071260
9104785555
1045642416
1123844906
1213351528
1395c0b61
1460c1768
154018a2b
hex2b872b0

45642416 has 40 divisors (see below), whose sum is σ = 96672384. Its totient is φ = 20782080.

The previous prime is 45642413. The next prime is 45642449. The reversal of 45642416 is 61424654.

It is not an unprimeable number, because it can be changed into a prime (45642413) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5726 + ... + 11138.

Almost surely, 245642416 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 45642416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48336192).

45642416 is an abundant number, since it is smaller than the sum of its proper divisors (51029968).

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

45642416 is a wasteful number, since it uses less digits than its factorization.

45642416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5469 (or 5463 counting only the distinct ones).

The product of its digits is 23040, while the sum is 32.

The square root of 45642416 is about 6755.9171102079. The cubic root of 45642416 is about 357.3739356972.

The spelling of 45642416 in words is "forty-five million, six hundred forty-two thousand, four hundred sixteen".

Divisors: 1 2 4 8 16 17 31 34 62 68 124 136 248 272 496 527 1054 2108 4216 5413 8432 10826 21652 43304 86608 92021 167803 184042 335606 368084 671212 736168 1342424 1472336 2684848 2852651 5705302 11410604 22821208 45642416