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61142432 = 2513146977
BaseRepresentation
bin1110100100111…
…1010110100000
311021001100122112
43221033112200
5111123024212
610022254452
71341462551
oct351172640
9137040575
1061142432
113157123a
1218587428
13c889c70
148198328
15557b422
hex3a4f5a0

61142432 has 24 divisors (see below), whose sum is σ = 129634596. Its totient is φ = 28219392.

The previous prime is 61142429. The next prime is 61142449. The reversal of 61142432 is 23424116.

61142432 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 60777616 + 364816 = 7796^2 + 604^2 .

It is a junction number, because it is equal to n+sod(n) for n = 61142398 and 61142407.

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 3 ways as a sum of consecutive naturals, for example, 73073 + ... + 73904.

Almost surely, 261142432 is an apocalyptic number.

It is an amenable number.

61142432 is an abundant number, since it is smaller than the sum of its proper divisors (68492164).

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

61142432 is a wasteful number, since it uses less digits than its factorization.

61142432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147000 (or 146992 counting only the distinct ones).

The product of its digits is 1152, while the sum is 23.

The square root of 61142432 is about 7819.3626338724. The cubic root of 61142432 is about 393.9558643992.

Adding to 61142432 its reverse (23424116), we get a palindrome (84566548).

The spelling of 61142432 in words is "sixty-one million, one hundred forty-two thousand, four hundred thirty-two".

Divisors: 1 2 4 8 13 16 26 32 52 104 208 416 146977 293954 587908 1175816 1910701 2351632 3821402 4703264 7642804 15285608 30571216 61142432