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45656720 = 2451972897
BaseRepresentation
bin1010111000101…
…0101010010000
310011220121020122
42232022222100
543142003340
64310325412
71063034654
oct256125220
9104817218
1045656720
112385462a
1213359868
1395c7515
1460c6a64
15401cdb5
hex2b8aa90

45656720 has 40 divisors (see below), whose sum is σ = 106727544. Its totient is φ = 18163712.

The previous prime is 45656711. The next prime is 45656749. The reversal of 45656720 is 2765654.

It can be written as a sum of positive squares in 4 ways, for example, as 7661824 + 37994896 = 2768^2 + 6164^2 .

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

It is a super-3 number, since 3×456567203 (a number of 24 digits) contains 333 as substring.

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 7 ways as a sum of consecutive naturals, for example, 14312 + ... + 17208.

Almost surely, 245656720 is an apocalyptic number.

45656720 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45656720 is an abundant number, since it is smaller than the sum of its proper divisors (61070824).

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

45656720 is a wasteful number, since it uses less digits than its factorization.

45656720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3107 (or 3101 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 35.

The square root of 45656720 is about 6756.9756548326. The cubic root of 45656720 is about 357.4112645922.

The spelling of 45656720 in words is "forty-five million, six hundred fifty-six thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 197 394 788 985 1576 1970 2897 3152 3940 5794 7880 11588 14485 15760 23176 28970 46352 57940 115880 231760 570709 1141418 2282836 2853545 4565672 5707090 9131344 11414180 22828360 45656720