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45985969 = 172413881
BaseRepresentation
bin1010111101101…
…1000010110001
310012112022220001
42233123002301
543233022334
64321350001
71065605611
oct257330261
9105468801
1045985969
1123a59a37
1213498301
1396b1343
146170a41
154085714
hex2bdb0b1

45985969 has 12 divisors (see below), whose sum is σ = 50054508. Its totient is φ = 42214400.

The previous prime is 45985939. The next prime is 45985991. The reversal of 45985969 is 96958954.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 288369 + 45697600 = 537^2 + 6760^2 .

It is not a de Polignac number, because 45985969 - 25 = 45985937 is a prime.

It is a super-2 number, since 2×459859692 = 4229418689737922, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (45985939) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9909 + ... + 13789.

It is an arithmetic number, because the mean of its divisors is an integer number (4171209).

Almost surely, 245985969 is an apocalyptic number.

It is an amenable number.

45985969 is a deficient number, since it is larger than the sum of its proper divisors (4068539).

45985969 is a wasteful number, since it uses less digits than its factorization.

45985969 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3956 (or 3939 counting only the distinct ones).

The product of its digits is 3499200, while the sum is 55.

The square root of 45985969 is about 6781.2955251928. The cubic root of 45985969 is about 358.2683531472.

The spelling of 45985969 in words is "forty-five million, nine hundred eighty-five thousand, nine hundred sixty-nine".

Divisors: 1 17 41 289 697 3881 11849 65977 159121 1121609 2705057 45985969