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61536225 = 3524319081
BaseRepresentation
bin1110101010111…
…1011111100001
311021210100211110
43222233133201
5111223124400
610034533533
71345022622
oct352573741
9137710743
1061536225
1131810093
12187372a9
13c99728a
14825ba49
155607e50
hex3aaf7e1

61536225 has 24 divisors (see below), whose sum is σ = 104111392. Its totient is φ = 32054400.

The previous prime is 61536187. The next prime is 61536239. The reversal of 61536225 is 52263516.

It is not a de Polignac number, because 61536225 - 215 = 61503457 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 61536192 and 61536201.

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 23 ways as a sum of consecutive naturals, for example, 6316 + ... + 12765.

Almost surely, 261536225 is an apocalyptic number.

It is an amenable number.

61536225 is a deficient number, since it is larger than the sum of its proper divisors (42575167).

61536225 is a wasteful number, since it uses less digits than its factorization.

61536225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19137 (or 19132 counting only the distinct ones).

The product of its digits is 10800, while the sum is 30.

The square root of 61536225 is about 7844.5028523164. The cubic root of 61536225 is about 394.7998237985.

The spelling of 61536225 in words is "sixty-one million, five hundred thirty-six thousand, two hundred twenty-five".

Divisors: 1 3 5 15 25 43 75 129 215 645 1075 3225 19081 57243 95405 286215 477025 820483 1431075 2461449 4102415 12307245 20512075 61536225