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61541964 = 22331151803
BaseRepresentation
bin1110101011000…
…0111001001100
311021210122201000
43222300321030
5111223320324
610035020300
71345045431
oct352607114
9137718630
1061541964
1131814430
121873a690
13c999a83
14825db88
1556099c9
hex3ab0e4c

61541964 has 48 divisors (see below), whose sum is σ = 174061440. Its totient is φ = 18648720.

The previous prime is 61541939. The next prime is 61541981. The reversal of 61541964 is 46914516.

61541964 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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, 24714 + ... + 27089.

It is an arithmetic number, because the mean of its divisors is an integer number (3626280).

Almost surely, 261541964 is an apocalyptic number.

It is an amenable number.

61541964 is an abundant number, since it is smaller than the sum of its proper divisors (112519476).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

61541964 is a wasteful number, since it uses less digits than its factorization.

61541964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51827 (or 51819 counting only the distinct ones).

The product of its digits is 25920, while the sum is 36.

The square root of 61541964 is about 7844.8686413477. The cubic root of 61541964 is about 394.8120967090.

It can be divided in two parts, 6154 and 1964, that added together give a palindrome (8118).

The spelling of 61541964 in words is "sixty-one million, five hundred forty-one thousand, nine hundred sixty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 99 108 132 198 297 396 594 1188 51803 103606 155409 207212 310818 466227 569833 621636 932454 1139666 1398681 1709499 1864908 2279332 2797362 3418998 5128497 5594724 6837996 10256994 15385491 20513988 30770982 61541964