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45469312 = 277311637
BaseRepresentation
bin1010110101110…
…0111010000000
310011120002011121
42231130322000
543120004222
64302322024
71061324410
oct255347200
9104502147
1045469312
1123736849
1213289314
139560125
146078640
153ed25c7
hex2b5ce80

45469312 has 64 divisors (see below), whose sum is σ = 106928640. Its totient is φ = 18846720.

The previous prime is 45469297. The next prime is 45469357. The reversal of 45469312 is 21396454.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

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, 26958 + ... + 28594.

It is an arithmetic number, because the mean of its divisors is an integer number (1670760).

Almost surely, 245469312 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 45469312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53464320).

45469312 is an abundant number, since it is smaller than the sum of its proper divisors (61459328).

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

45469312 is a wasteful number, since it uses less digits than its factorization.

45469312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1689 (or 1677 counting only the distinct ones).

The product of its digits is 25920, while the sum is 34.

The square root of 45469312 is about 6743.0936520265. The cubic root of 45469312 is about 356.9215697061.

The spelling of 45469312 in words is "forty-five million, four hundred sixty-nine thousand, three hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 31 32 56 62 64 112 124 128 217 224 248 434 448 496 868 896 992 1637 1736 1984 3274 3472 3968 6548 6944 11459 13096 13888 22918 26192 27776 45836 50747 52384 91672 101494 104768 183344 202988 209536 355229 366688 405976 710458 733376 811952 1420916 1466752 1623904 2841832 3247808 5683664 6495616 11367328 22734656 45469312