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61561616 = 24231311277
BaseRepresentation
bin1110101011010…
…1101100010000
311021211122122212
43222311230100
5111224432431
610035251252
71345156634
oct352655420
9137748585
1061561616
1131828176
1218749b28
13c9a59bc
148266dc4
15561072b
hex3ab5b10

61561616 has 40 divisors (see below), whose sum is σ = 125509824. Its totient is φ = 29194880.

The previous prime is 61561613. The next prime is 61561631. The reversal of 61561616 is 61616516.

61561616 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (61561613) 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 in 7 ways as a sum of consecutive naturals, for example, 47570 + ... + 48846.

Almost surely, 261561616 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61561616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62754912).

61561616 is an abundant number, since it is smaller than the sum of its proper divisors (63948208).

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

61561616 is a wasteful number, since it uses less digits than its factorization.

61561616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1439 (or 1433 counting only the distinct ones).

The product of its digits is 6480, while the sum is 32.

The square root of 61561616 is about 7846.1210798713. The cubic root of 61561616 is about 394.8541169344.

The spelling of 61561616 in words is "sixty-one million, five hundred sixty-one thousand, six hundred sixteen".

Divisors: 1 2 4 8 16 23 46 92 131 184 262 368 524 1048 1277 2096 2554 3013 5108 6026 10216 12052 20432 24104 29371 48208 58742 117484 167287 234968 334574 469936 669148 1338296 2676592 3847601 7695202 15390404 30780808 61561616