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61688825 = 5211220393
BaseRepresentation
bin1110101101010…
…0101111111001
311022002010011022
43223110233321
5111243020300
610042112225
71346226542
oct353245771
9138063138
1061688825
1131904800
12187ab675
13ca1b883
14829b4c9
155638285
hex3ad4bf9

61688825 has 18 divisors (see below), whose sum is σ = 84084462. Its totient is φ = 44862400.

The previous prime is 61688819. The next prime is 61688849. The reversal of 61688825 is 52888616.

It can be written as a sum of positive squares in 3 ways, for example, as 4414201 + 57274624 = 2101^2 + 7568^2 .

It is not a de Polignac number, because 61688825 - 26 = 61688761 is a prime.

It is a super-2 number, since 2×616888252 = 7611022259761250, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 7172 + ... + 13221.

It is an arithmetic number, because the mean of its divisors is an integer number (4671359).

Almost surely, 261688825 is an apocalyptic number.

It is an amenable number.

61688825 is a deficient number, since it is larger than the sum of its proper divisors (22395637).

61688825 is a wasteful number, since it uses less digits than its factorization.

61688825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20425 (or 20409 counting only the distinct ones).

The product of its digits is 184320, while the sum is 44.

The square root of 61688825 is about 7854.2233861789. The cubic root of 61688825 is about 395.1259012219.

It can be divided in two parts, 61 and 688825, that added together give a palindrome (688886).

The spelling of 61688825 in words is "sixty-one million, six hundred eighty-eight thousand, eight hundred twenty-five".

Divisors: 1 5 11 25 55 121 275 605 3025 20393 101965 224323 509825 1121615 2467553 5608075 12337765 61688825