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45368316 = 2233728573
BaseRepresentation
bin1010110100010…
…0001111111100
310011100221122000
42231010033330
543103241231
64300222300
71060424100
oct255041774
9104327560
1045368316
1123677984
121323a990
139526176
14604d900
153eb26e6
hex2b443fc

45368316 has 72 divisors (see below), whose sum is σ = 136841040. Its totient is φ = 12960864.

The previous prime is 45368299. The next prime is 45368329. The reversal of 45368316 is 61386354.

It is a Harshad number since it is a multiple of its sum of digits (36).

45368316 is a modest number, since divided by 8316 gives 4536 as remainder.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1006 + ... + 9578.

It is an arithmetic number, because the mean of its divisors is an integer number (1900570).

Almost surely, 245368316 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 45368316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68420520).

45368316 is an abundant number, since it is smaller than the sum of its proper divisors (91472724).

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

45368316 is a wasteful number, since it uses less digits than its factorization.

45368316 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8600 (or 8585 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

The square root of 45368316 is about 6735.6006413682. The cubic root of 45368316 is about 356.6571102145.

The spelling of 45368316 in words is "forty-five million, three hundred sixty-eight thousand, three hundred sixteen".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 49 54 63 84 98 108 126 147 189 196 252 294 378 441 588 756 882 1323 1764 2646 5292 8573 17146 25719 34292 51438 60011 77157 102876 120022 154314 180033 231471 240044 308628 360066 420077 462942 540099 720132 840154 925884 1080198 1260231 1620297 1680308 2160396 2520462 3240594 3780693 5040924 6481188 7561386 11342079 15122772 22684158 45368316