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45379116 = 2234227617
BaseRepresentation
bin1010110100011…
…0111000101100
310011101111110000
42231012320230
543104112431
64300344300
71060500426
oct255067054
9104344400
1045379116
1123685002
1213245090
13952b063
146053816
153eb59e6
hex2b46e2c

45379116 has 60 divisors (see below), whose sum is σ = 119345688. Its totient is φ = 15035328.

The previous prime is 45379109. The next prime is 45379121. The reversal of 45379116 is 61197354.

45379116 is a `hidden beast` number, since 4 + 537 + 9 + 116 = 666.

45379116 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

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 19 ways as a sum of consecutive naturals, for example, 73240 + ... + 73856.

Almost surely, 245379116 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 45379116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59672844).

45379116 is an abundant number, since it is smaller than the sum of its proper divisors (73966572).

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

45379116 is a wasteful number, since it uses less digits than its factorization.

45379116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 860 (or 849 counting only the distinct ones).

The product of its digits is 22680, while the sum is 36.

The square root of 45379116 is about 6736.4023039008. The cubic root of 45379116 is about 356.6854089005.

The spelling of 45379116 in words is "forty-five million, three hundred seventy-nine thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 227 324 454 617 681 908 1234 1362 1851 2043 2468 2724 3702 4086 5553 6129 7404 8172 11106 12258 16659 18387 22212 24516 33318 36774 49977 66636 73548 99954 140059 199908 280118 420177 560236 840354 1260531 1680708 2521062 3781593 5042124 7563186 11344779 15126372 22689558 45379116