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48706283025 = 3252147132
BaseRepresentation
bin101101010111000111…
…101110011000010001
311122201102110112120100
4231113013232120101
51244222302024100
634213024403013
73342662401101
oct552707563021
9148642415510
1048706283025
1119724477374
129533776469
134792a2481a
1425009a7201
151400ee6400
hexb571ee611

48706283025 has 27 divisors (see below), whose sum is σ = 87244294449. Its totient is φ = 25974918720.

The previous prime is 48706283011. The next prime is 48706283033. The reversal of 48706283025 is 52038260784.

The square root of 48706283025 is 220695.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 582208641 + 48124074384 = 24129^2 + 219372^2 .

It is not a de Polignac number, because 48706283025 - 25 = 48706282993 is a prime.

It is a super-2 number, since 2×487062830252 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 3303069 + ... + 3317781.

Almost surely, 248706283025 is an apocalyptic number.

48706283025 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

48706283025 is the 220695-th square number.

48706283025 is the 110348-th centered octagonal number.

It is an amenable number.

48706283025 is a deficient number, since it is larger than the sum of its proper divisors (38538011424).

48706283025 is an frugal number, since it uses more digits than its factorization.

48706283025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29442 (or 14721 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 48706283025 in words is "forty-eight billion, seven hundred six million, two hundred eighty-three thousand, twenty-five".

Divisors: 1 3 5 9 15 25 45 75 225 14713 44139 73565 132417 220695 367825 662085 1103475 3310425 216472369 649417107 1082361845 1948251321 3247085535 5411809225 9741256605 16235427675 48706283025