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45674944 = 267432371
BaseRepresentation
bin1010111000111…
…1000111000000
310011221112020121
42232033013000
543143044234
64310550024
71063142050
oct256170700
9104845217
1045674944
1123867297
1213368314
1396028c3
1460cd560
1540234b4
hex2b8f1c0

45674944 has 56 divisors (see below), whose sum is σ = 106037888. Its totient is φ = 19111680.

The previous prime is 45674921. The next prime is 45674953. The reversal of 45674944 is 44947654.

It is a tau number, because it is divible by the number of its divisors (56).

It is a Harshad number since it is a multiple of its sum of digits (43).

It is a self number, because there is not a number n which added to its sum of digits gives 45674944.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18079 + ... + 20449.

Almost surely, 245674944 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 45674944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53018944).

45674944 is an abundant number, since it is smaller than the sum of its proper divisors (60362944).

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

45674944 is a wasteful number, since it uses less digits than its factorization.

45674944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2433 (or 2423 counting only the distinct ones).

The product of its digits is 483840, while the sum is 43.

The square root of 45674944 is about 6758.3240526036. The cubic root of 45674944 is about 357.4588121490.

The spelling of 45674944 in words is "forty-five million, six hundred seventy-four thousand, nine hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 32 43 56 64 86 112 172 224 301 344 448 602 688 1204 1376 2371 2408 2752 4742 4816 9484 9632 16597 18968 19264 33194 37936 66388 75872 101953 132776 151744 203906 265552 407812 531104 713671 815624 1062208 1427342 1631248 2854684 3262496 5709368 6524992 11418736 22837472 45674944