Search a number
-
+
48880575 = 3252534099
BaseRepresentation
bin1011101001110…
…1101110111111
310101222101112200
42322131232333
5100003134300
64503402543
71132322652
oct272355677
9111871480
1048880575
1125656777
1214453453
13a185a23
1466c5899
154458200
hex2e9dbbf

48880575 has 36 divisors (see below), whose sum is σ = 89224200. Its totient is φ = 25571520.

The previous prime is 48880571. The next prime is 48880577. The reversal of 48880575 is 57508884.

It is not a de Polignac number, because 48880575 - 22 = 48880571 is a prime.

It is a super-2 number, since 2×488805752 = 4778621224661250, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 48880575.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48880571) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 9876 + ... + 13974.

It is an arithmetic number, because the mean of its divisors is an integer number (2478450).

Almost surely, 248880575 is an apocalyptic number.

48880575 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

48880575 is a deficient number, since it is larger than the sum of its proper divisors (40343625).

48880575 is a wasteful number, since it uses less digits than its factorization.

48880575 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4168 (or 4160 counting only the distinct ones).

The product of its (nonzero) digits is 358400, while the sum is 45.

The square root of 48880575 is about 6991.4644388712. The cubic root of 48880575 is about 365.6330416816.

It can be divided in two parts, 48880 and 575, that added together give a triangular number (49455 = T314).

The spelling of 48880575 in words is "forty-eight million, eight hundred eighty thousand, five hundred seventy-five".

Divisors: 1 3 5 9 15 25 45 53 75 159 225 265 477 795 1325 2385 3975 4099 11925 12297 20495 36891 61485 102475 184455 217247 307425 651741 922275 1086235 1955223 3258705 5431175 9776115 16293525 48880575