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45268480 = 29517683
BaseRepresentation
bin1010110010101…
…1111000000000
310011011212200101
42230223320000
543042042410
64254132144
71056530035
oct254537000
9104155611
1045268480
1123609974
12131b1054
1394bc8aa
14602538c
153e92d3a
hex2b2be00

45268480 has 40 divisors (see below), whose sum is σ = 108544392. Its totient is φ = 18106368.

The previous prime is 45268471. The next prime is 45268481. The reversal of 45268480 is 8486254.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45268481) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 6282 + ... + 11401.

Almost surely, 245268480 is an apocalyptic number.

45268480 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45268480 is an abundant number, since it is smaller than the sum of its proper divisors (63275912).

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

45268480 is an equidigital number, since it uses as much as digits as its factorization.

45268480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17706 (or 17690 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 37.

The square root of 45268480 is about 6728.1854909032. The cubic root of 45268480 is about 356.3953021727.

The spelling of 45268480 in words is "forty-five million, two hundred sixty-eight thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 512 640 1280 2560 17683 35366 70732 88415 141464 176830 282928 353660 565856 707320 1131712 1414640 2263424 2829280 4526848 5658560 9053696 11317120 22634240 45268480