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45106272 = 2532156619
BaseRepresentation
bin1010110000010…
…0010001100000
310010212122011200
42230010101200
543021400042
64250441200
71055253111
oct254042140
9103778150
1045106272
1123509012
1213133200
139463b03
145dc2208
153e5ec4c
hex2b04460

45106272 has 36 divisors (see below), whose sum is σ = 128271780. Its totient is φ = 15035328.

The previous prime is 45106241. The next prime is 45106301. The reversal of 45106272 is 27260154.

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 78022 + ... + 78597.

It is an arithmetic number, because the mean of its divisors is an integer number (3563105).

Almost surely, 245106272 is an apocalyptic number.

It is an amenable number.

45106272 is an abundant number, since it is smaller than the sum of its proper divisors (83165508).

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

45106272 is a wasteful number, since it uses less digits than its factorization.

45106272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156635 (or 156624 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 45106272 is about 6716.1203086306. The cubic root of 45106272 is about 355.9691089637.

The spelling of 45106272 in words is "forty-five million, one hundred six thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 156619 313238 469857 626476 939714 1252952 1409571 1879428 2505904 2819142 3758856 5011808 5638284 7517712 11276568 15035424 22553136 45106272