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61885131 = 3711267901
BaseRepresentation
bin1110110000010…
…0101011001011
311022110002102220
43230010223023
5111320311011
610050225123
71351005060
oct354045313
9138402386
1061885131
1131a29240
12188851a3
13ca8a029
14830cc67
155676506
hex3b04acb

61885131 has 16 divisors (see below), whose sum is σ = 102874368. Its totient is φ = 32148000.

The previous prime is 61885129. The next prime is 61885139. The reversal of 61885131 is 13158816.

61885131 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 61885131 - 21 = 61885129 is a prime.

It is a super-2 number, since 2×618851312 = 7659538877774322, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 61885092 and 61885101.

It is not an unprimeable number, because it can be changed into a prime (61885139) 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 15 ways as a sum of consecutive naturals, for example, 133720 + ... + 134181.

It is an arithmetic number, because the mean of its divisors is an integer number (6429648).

Almost surely, 261885131 is an apocalyptic number.

61885131 is a deficient number, since it is larger than the sum of its proper divisors (40989237).

61885131 is a wasteful number, since it uses less digits than its factorization.

61885131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267922.

The product of its digits is 5760, while the sum is 33.

The square root of 61885131 is about 7866.7103035513. The cubic root of 61885131 is about 395.5445802613.

The spelling of 61885131 in words is "sixty-one million, eight hundred eighty-five thousand, one hundred thirty-one".

Divisors: 1 3 7 11 21 33 77 231 267901 803703 1875307 2946911 5625921 8840733 20628377 61885131