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45072608 = 257311647
BaseRepresentation
bin1010101111110…
…0000011100000
310010210220222212
42223330003200
543014310413
64250021252
71055053010
oct253740340
9103726885
1045072608
1123495799
1213117828
1394516a9
145db3c40
153e54ca8
hex2afc0e0

45072608 has 48 divisors (see below), whose sum is σ = 101896704. Its totient is φ = 19224960.

The previous prime is 45072607. The next prime is 45072611. The reversal of 45072608 is 80627054.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45072607) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 69341 + ... + 69987.

It is an arithmetic number, because the mean of its divisors is an integer number (2122848).

Almost surely, 245072608 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 45072608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50948352).

45072608 is an abundant number, since it is smaller than the sum of its proper divisors (56824096).

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

45072608 is a wasteful number, since it uses less digits than its factorization.

45072608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 975 (or 967 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 32.

The square root of 45072608 is about 6713.6136320167. The cubic root of 45072608 is about 355.8805305469.

The spelling of 45072608 in words is "forty-five million, seventy-two thousand, six hundred eight".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 224 311 622 647 1244 1294 2177 2488 2588 4354 4529 4976 5176 8708 9058 9952 10352 17416 18116 20704 34832 36232 69664 72464 144928 201217 402434 804868 1408519 1609736 2817038 3219472 5634076 6438944 11268152 22536304 45072608