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45120064 = 261164091
BaseRepresentation
bin1010110000011…
…1101001000000
310010220100002111
42230013221000
543022320224
64251025104
71055341243
oct254075100
9103810074
1045120064
1123518410
121313b194
13946a182
145dc725a
153e63d94
hex2b07a40

45120064 has 28 divisors (see below), whose sum is σ = 97676208. Its totient is φ = 20508800.

The previous prime is 45120037. The next prime is 45120071. The reversal of 45120064 is 46002154.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 31342 + ... + 32749.

It is an arithmetic number, because the mean of its divisors is an integer number (3488436).

Almost surely, 245120064 is an apocalyptic number.

45120064 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

45120064 is an abundant number, since it is smaller than the sum of its proper divisors (52556144).

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

45120064 is a wasteful number, since it uses less digits than its factorization.

45120064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64114 (or 64104 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

The square root of 45120064 is about 6717.1470134277. The cubic root of 45120064 is about 356.0053864438.

The spelling of 45120064 in words is "forty-five million, one hundred twenty thousand, sixty-four".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 176 352 704 64091 128182 256364 512728 705001 1025456 1410002 2050912 2820004 4101824 5640008 11280016 22560032 45120064