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45169056 = 2533232273
BaseRepresentation
bin1010110001001…
…1100110100000
310010222211022000
42230103212200
543030402211
64252044000
71055634132
oct254234640
9103884260
1045169056
11235511a9
1213163600
13948656a
145ddb052
153e73656
hex2b139a0

45169056 has 96 divisors (see below), whose sum is σ = 137531520. Its totient is φ = 14395392.

The previous prime is 45169031. The next prime is 45169073. The reversal of 45169056 is 65096154.

45169056 is a `hidden beast` number, since 4 + 516 + 90 + 56 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×451690562 = 4080487239862272, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 45169056.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18736 + ... + 21008.

It is an arithmetic number, because the mean of its divisors is an integer number (1432620).

Almost surely, 245169056 is an apocalyptic number.

45169056 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45169056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68765760).

45169056 is an abundant number, since it is smaller than the sum of its proper divisors (92362464).

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

45169056 is a wasteful number, since it uses less digits than its factorization.

45169056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2315 (or 2301 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 45169056 is about 6720.7928103759. The cubic root of 45169056 is about 356.1341917205.

The spelling of 45169056 in words is "forty-five million, one hundred sixty-nine thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 27 32 36 46 48 54 69 72 92 96 108 138 144 184 207 216 276 288 368 414 432 552 621 736 828 864 1104 1242 1656 2208 2273 2484 3312 4546 4968 6624 6819 9092 9936 13638 18184 19872 20457 27276 36368 40914 52279 54552 61371 72736 81828 104558 109104 122742 156837 163656 209116 218208 245484 313674 327312 418232 470511 490968 627348 654624 836464 941022 981936 1254696 1411533 1672928 1882044 1963872 2509392 2823066 3764088 5018784 5646132 7528176 11292264 15056352 22584528 45169056