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61461132 = 22341532357
BaseRepresentation
bin1110101001110…
…1001010001100
311021122112211020
43222131022030
5111213224012
610033154140
71344260655
oct352351214
9137575736
1061461132
1131769727
12186bb950
13c96c045
14823c52c
1555e0a8c
hex3a9d28c

61461132 has 48 divisors (see below), whose sum is σ = 149742432. Its totient is φ = 19601920.

The previous prime is 61461119. The next prime is 61461151. The reversal of 61461132 is 23116416.

61461132 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

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, 24898 + ... + 27254.

It is an arithmetic number, because the mean of its divisors is an integer number (3119634).

Almost surely, 261461132 is an apocalyptic number.

It is an amenable number.

61461132 is an abundant number, since it is smaller than the sum of its proper divisors (88281300).

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

61461132 is a wasteful number, since it uses less digits than its factorization.

61461132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2458 (or 2456 counting only the distinct ones).

The product of its digits is 864, while the sum is 24.

The square root of 61461132 is about 7839.7150458419. The cubic root of 61461132 is about 394.6391662850.

Adding to 61461132 its reverse (23116416), we get a palindrome (84577548).

The spelling of 61461132 in words is "sixty-one million, four hundred sixty-one thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 41 53 82 106 123 159 164 212 246 318 492 636 2173 2357 4346 4714 6519 7071 8692 9428 13038 14142 26076 28284 96637 124921 193274 249842 289911 374763 386548 499684 579822 749526 1159644 1499052 5121761 10243522 15365283 20487044 30730566 61461132