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45925560 = 23325295383
BaseRepresentation
bin1010111100110…
…0010010111000
310012102021000200
42233030102320
543224104220
64320202200
71065234522
oct257142270
9105367020
1045925560
1123a1860a
1213469360
13968c9b5
146156a12
154072890
hex2bcc4b8

45925560 has 192 divisors, whose sum is σ = 159213600. Its totient is φ = 11461632.

The previous prime is 45925559. The next prime is 45925567. The reversal of 45925560 is 6552954.

45925560 is a `hidden beast` number, since 4 + 5 + 92 + 5 + 560 = 666.

45925560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×459255602 = 4218314122627200, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45925567) 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, 553279 + ... + 553361.

Almost surely, 245925560 is an apocalyptic number.

45925560 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45925560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79606800).

45925560 is an abundant number, since it is smaller than the sum of its proper divisors (113288040).

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

45925560 is a wasteful number, since it uses less digits than its factorization.

45925560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 36.

The square root of 45925560 is about 6776.8399715502. The cubic root of 45925560 is about 358.1114058782. Note that the first 3 decimals are identical.

The spelling of 45925560 in words is "forty-five million, nine hundred twenty-five thousand, five hundred sixty".