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45719973 = 32135373101
BaseRepresentation
bin1010111001101…
…0000110100101
310012000211000100
42232122012211
543201014343
64311534313
71063420245
oct256320645
9105024010
1045719973
1123898102
121338a399
13961a250
146101b25
1540319d3
hex2b9a1a5

45719973 has 48 divisors (see below), whose sum is σ = 74181744. Its totient is φ = 26956800.

The previous prime is 45719939. The next prime is 45719977. The reversal of 45719973 is 37991754.

45719973 is a `hidden beast` number, since 4 + 571 + 9 + 9 + 73 = 666.

45719973 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 2712609 + 43007364 = 1647^2 + 6558^2 .

It is not a de Polignac number, because 45719973 - 28 = 45719717 is a prime.

It is a super-2 number, since 2×457199732 = 4180631862241458, which contains 22 as substring.

Its product of digits (238140) is a multiple of the sum of its prime divisors (243).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45719977) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 452623 + ... + 452723.

It is an arithmetic number, because the mean of its divisors is an integer number (1545453).

Almost surely, 245719973 is an apocalyptic number.

It is an amenable number.

45719973 is a deficient number, since it is larger than the sum of its proper divisors (28461771).

45719973 is a wasteful number, since it uses less digits than its factorization.

45719973 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246 (or 243 counting only the distinct ones).

The product of its digits is 238140, while the sum is 45.

The square root of 45719973 is about 6761.6546051983. The cubic root of 45719973 is about 357.5762414211.

The spelling of 45719973 in words is "forty-five million, seven hundred nineteen thousand, nine hundred seventy-three".

Divisors: 1 3 9 13 39 53 73 101 117 159 219 303 477 657 689 909 949 1313 2067 2847 3869 3939 5353 6201 7373 8541 11607 11817 16059 22119 34821 48177 50297 66357 69589 95849 150891 208767 287547 390769 452673 626301 862641 1172307 3516921 5079997 15239991 45719973