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61793056 = 2513891669
BaseRepresentation
bin1110101110111…
…0001100100000
311022021102010201
43223232030200
5111304334211
610044234544
71350142453
oct353561440
9138242121
1061793056
1131976046
121883ba54
13ca57150
1482c749a
1556590c1
hex3aee320

61793056 has 48 divisors (see below), whose sum is σ = 132564600. Its totient is φ = 28182528.

The previous prime is 61793051. The next prime is 61793057. The reversal of 61793056 is 65039716.

61793056 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 4 ways, for example, as 33872400 + 27920656 = 5820^2 + 5284^2 .

It is not an unprimeable number, because it can be changed into a prime (61793051) 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, 36190 + ... + 37858.

Almost surely, 261793056 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 61793056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66282300).

61793056 is an abundant number, since it is smaller than the sum of its proper divisors (70771544).

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

61793056 is a wasteful number, since it uses less digits than its factorization.

61793056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1781 (or 1773 counting only the distinct ones).

The product of its (nonzero) digits is 34020, while the sum is 37.

The square root of 61793056 is about 7860.8559330394. The cubic root of 61793056 is about 395.3483142450.

The spelling of 61793056 in words is "sixty-one million, seven hundred ninety-three thousand, fifty-six".

Divisors: 1 2 4 8 13 16 26 32 52 89 104 178 208 356 416 712 1157 1424 1669 2314 2848 3338 4628 6676 9256 13352 18512 21697 26704 37024 43394 53408 86788 148541 173576 297082 347152 594164 694304 1188328 1931033 2376656 3862066 4753312 7724132 15448264 30896528 61793056