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45981072 = 2432319313
BaseRepresentation
bin1010111101100…
…1110110010000
310012112002011200
42233121312100
543232343242
64321311200
71065555414
oct257316620
9105462150
1045981072
1123a56295
1213495500
1396ac047
14616cd44
15408404c
hex2bd9d90

45981072 has 30 divisors (see below), whose sum is σ = 128683542. Its totient is φ = 15326976.

The previous prime is 45981053. The next prime is 45981077. The reversal of 45981072 is 27018954.

It can be written as a sum of positive squares in only one way, i.e., 23853456 + 22127616 = 4884^2 + 4704^2 .

It is a super-2 number, since 2×459810722 = 4228517964538368, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (45981077) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 159513 + ... + 159800.

Almost surely, 245981072 is an apocalyptic number.

It is an amenable number.

45981072 is an abundant number, since it is smaller than the sum of its proper divisors (82702470).

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

45981072 is a wasteful number, since it uses less digits than its factorization.

45981072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 319327 (or 319318 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 45981072 is about 6780.9344488794. The cubic root of 45981072 is about 358.2556354825.

The spelling of 45981072 in words is "forty-five million, nine hundred eighty-one thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 319313 638626 957939 1277252 1915878 2554504 2873817 3831756 5109008 5747634 7663512 11495268 15327024 22990536 45981072