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48997125 = 325397449
BaseRepresentation
bin1011101011101…
…0001100000101
310102012022102100
42322322030011
5100020402000
64510102313
71133316522
oct272721405
9112168370
1048997125
11257262a1
12144aa999
13a1c6aa8
146716149
15447ca00
hex2eba305

48997125 has 48 divisors (see below), whose sum is σ = 89434800. Its totient is φ = 25804800.

The previous prime is 48997121. The next prime is 48997147. The reversal of 48997125 is 52179984.

48997125 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 14493249 + 34503876 = 3807^2 + 5874^2 .

It is not a de Polignac number, because 48997125 - 22 = 48997121 is a prime.

It is a super-3 number, since 3×489971253 (a number of 24 digits) contains 333 as substring.

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

Its product of digits (181440) is a multiple of the sum of its prime factors (567).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48997121) 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, 108901 + ... + 109349.

It is an arithmetic number, because the mean of its divisors is an integer number (1863225).

Almost surely, 248997125 is an apocalyptic number.

48997125 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

48997125 is a deficient number, since it is larger than the sum of its proper divisors (40437675).

48997125 is a wasteful number, since it uses less digits than its factorization.

48997125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 567 (or 554 counting only the distinct ones).

The product of its digits is 181440, while the sum is 45.

The square root of 48997125 is about 6999.7946398448. The cubic root of 48997125 is about 365.9234140569.

The spelling of 48997125 in words is "forty-eight million, nine hundred ninety-seven thousand, one hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 75 97 125 225 291 375 449 485 873 1125 1347 1455 2245 2425 4041 4365 6735 7275 11225 12125 20205 21825 33675 36375 43553 56125 101025 109125 130659 168375 217765 391977 505125 653295 1088825 1959885 3266475 5444125 9799425 16332375 48997125