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45877140 = 22325254873
BaseRepresentation
bin1010111100000…
…0011110010100
310012022210121100
42233000132110
543221032030
64315150100
71064643411
oct257003624
9105283540
1045877140
11239951a1
1213445330
13967394a
146143108
154063360
hex2bc0794

45877140 has 36 divisors (see below), whose sum is σ = 139161204. Its totient is φ = 12233856.

The previous prime is 45877133. The next prime is 45877141. The reversal of 45877140 is 4177854.

45877140 is a `hidden beast` number, since 4 + 587 + 71 + 4 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 7387524 + 38489616 = 2718^2 + 6204^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a junction number, because it is equal to n+sod(n) for n = 45877095 and 45877104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45877141) 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, 127257 + ... + 127616.

It is an arithmetic number, because the mean of its divisors is an integer number (3865589).

Almost surely, 245877140 is an apocalyptic number.

It is an amenable number.

45877140 is an abundant number, since it is smaller than the sum of its proper divisors (93284064).

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

45877140 is a wasteful number, since it uses less digits than its factorization.

45877140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254888 (or 254883 counting only the distinct ones).

The product of its (nonzero) digits is 31360, while the sum is 36.

The square root of 45877140 is about 6773.2665679124. The cubic root of 45877140 is about 357.9855075643.

The spelling of 45877140 in words is "forty-five million, eight hundred seventy-seven thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 254873 509746 764619 1019492 1274365 1529238 2293857 2548730 3058476 3823095 4587714 5097460 7646190 9175428 11469285 15292380 22938570 45877140