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45299916 = 22324147653
BaseRepresentation
bin1010110011001…
…1100011001100
310011020110210200
42230303203030
543044044131
64254533500
71060020504
oct254634314
9104213720
1045299916
1123630552
1213207290
139500cac
146032a04
153e9c2e6
hex2b338cc

45299916 has 72 divisors (see below), whose sum is σ = 119980224. Its totient is φ = 14396160.

The previous prime is 45299879. The next prime is 45299921. The reversal of 45299916 is 61999254.

45299916 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 69046 + ... + 69698.

It is an arithmetic number, because the mean of its divisors is an integer number (1666392).

Almost surely, 245299916 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 45299916, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59990112).

45299916 is an abundant number, since it is smaller than the sum of its proper divisors (74680308).

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

45299916 is a wasteful number, since it uses less digits than its factorization.

45299916 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 751 (or 746 counting only the distinct ones).

The product of its digits is 174960, while the sum is 45.

The square root of 45299916 is about 6730.5212279585. The cubic root of 45299916 is about 356.4777808298.

The spelling of 45299916 in words is "forty-five million, two hundred ninety-nine thousand, nine hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 36 41 47 82 94 123 141 164 188 246 282 369 423 492 564 653 738 846 1306 1476 1692 1927 1959 2612 3854 3918 5781 5877 7708 7836 11562 11754 17343 23124 23508 26773 30691 34686 53546 61382 69372 80319 92073 107092 122764 160638 184146 240957 276219 321276 368292 481914 552438 963828 1104876 1258331 2516662 3774993 5033324 7549986 11324979 15099972 22649958 45299916