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45459072 = 273239461
BaseRepresentation
bin1010110101101…
…0011010000000
310011112120010100
42231122122000
543114142242
64302202400
71061252511
oct255323200
9104476110
1045459072
112372a08a
1213283400
139558579
146074a08
153ece54c
hex2b5a680

45459072 has 48 divisors (see below), whose sum is σ = 130816530. Its totient is φ = 15152640.

The previous prime is 45459067. The next prime is 45459083. The reversal of 45459072 is 27095454.

It can be written as a sum of positive squares in only one way, i.e., 41679936 + 3779136 = 6456^2 + 1944^2 .

It is a tau number, because it is divible by the number of its divisors (48).

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 (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 18579 + ... + 20882.

Almost surely, 245459072 is an apocalyptic number.

It is an amenable number.

45459072 is an abundant number, since it is smaller than the sum of its proper divisors (85357458).

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

45459072 is a wasteful number, since it uses less digits than its factorization.

45459072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39481 (or 39466 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 45459072 is about 6742.3343138708. The cubic root of 45459072 is about 356.8947739684.

The spelling of 45459072 in words is "forty-five million, four hundred fifty-nine thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 39461 78922 118383 157844 236766 315688 355149 473532 631376 710298 947064 1262752 1420596 1894128 2525504 2841192 3788256 5051008 5682384 7576512 11364768 15153024 22729536 45459072