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45051616 = 2529431129
BaseRepresentation
bin1010101111011…
…0111011100000
310010202212012101
42223312323200
543013122431
64245340144
71054634551
oct253667340
9103685171
1045051616
1123480a45
1213107654
139444c7c
145daa328
153e4d961
hex2af6ee0

45051616 has 48 divisors (see below), whose sum is σ = 93970800. Its totient is φ = 21224448.

The previous prime is 45051593. The next prime is 45051623. The reversal of 45051616 is 61615054.

It is a super-2 number, since 2×450516162 = 4059296208422912, which contains 22 as substring.

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, 39340 + ... + 40468.

It is an arithmetic number, because the mean of its divisors is an integer number (1957725).

Almost surely, 245051616 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 45051616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46985400).

45051616 is an abundant number, since it is smaller than the sum of its proper divisors (48919184).

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

45051616 is a wasteful number, since it uses less digits than its factorization.

45051616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1211 (or 1203 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 28.

The square root of 45051616 is about 6712.0500594081. The cubic root of 45051616 is about 355.8252730079.

The spelling of 45051616 in words is "forty-five million, fifty-one thousand, six hundred sixteen".

Divisors: 1 2 4 8 16 29 32 43 58 86 116 172 232 344 464 688 928 1129 1247 1376 2258 2494 4516 4988 9032 9976 18064 19952 32741 36128 39904 48547 65482 97094 130964 194188 261928 388376 523856 776752 1047712 1407863 1553504 2815726 5631452 11262904 22525808 45051616