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61261664 = 251914427
BaseRepresentation
bin1110100110110…
…0011101100000
311021021102012112
43221230131200
5111140333124
610025014452
71342500302
oct351543540
9137242175
1061261664
1131642882
1218624428
13c8cc309
1481c9972
1555a190e
hex3a6c760

61261664 has 12 divisors (see below), whose sum is σ = 120608964. Its totient is φ = 30630816.

The previous prime is 61261663. The next prime is 61261687. The reversal of 61261664 is 46616216.

61261664 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 (32), and also a Moran number because the ratio is a prime number: 1914427 = 61261664 / (6 + 1 + 2 + 6 + 1 + 6 + 6 + 4).

It is a self number, because there is not a number n which added to its sum of digits gives 61261664.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61261661) by changing a digit.

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 as a sum of consecutive naturals, namely, 957182 + ... + 957245.

It is an arithmetic number, because the mean of its divisors is an integer number (10050747).

Almost surely, 261261664 is an apocalyptic number.

It is an amenable number.

61261664 is a deficient number, since it is larger than the sum of its proper divisors (59347300).

61261664 is a wasteful number, since it uses less digits than its factorization.

61261664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1914437 (or 1914429 counting only the distinct ones).

The product of its digits is 10368, while the sum is 32.

The square root of 61261664 is about 7826.9830714011. The cubic root of 61261664 is about 394.2117785771.

The spelling of 61261664 in words is "sixty-one million, two hundred sixty-one thousand, six hundred sixty-four".

Divisors: 1 2 4 8 16 32 1914427 3828854 7657708 15315416 30630832 61261664