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61842366 = 2342291667
BaseRepresentation
bin1110101111101…
…0001110111110
311022100220210000
43223322032332
5111312423431
610045255130
71350436305
oct353721676
9138326700
1061842366
11319aa0a3
12188644a6
13ca73721
1482db43c
1556689e6
hex3afa3be

61842366 has 40 divisors (see below), whose sum is σ = 139261320. Its totient is φ = 20511792.

The previous prime is 61842337. The next prime is 61842367. The reversal of 61842366 is 66324816.

61842366 is a `hidden beast` number, since 618 + 4 + 2 + 36 + 6 = 666.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 61842366.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61842367) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 36265 + ... + 37931.

It is an arithmetic number, because the mean of its divisors is an integer number (3481533).

Almost surely, 261842366 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61842366, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69630660).

61842366 is an abundant number, since it is smaller than the sum of its proper divisors (77418954).

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

61842366 is a wasteful number, since it uses less digits than its factorization.

61842366 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1910 (or 1901 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 61842366 is about 7863.9917344819. The cubic root of 61842366 is about 395.4534471054.

The spelling of 61842366 in words is "sixty-one million, eight hundred forty-two thousand, three hundred sixty-six".

Divisors: 1 2 3 6 9 18 27 54 81 162 229 458 687 1374 1667 2061 3334 4122 5001 6183 10002 12366 15003 18549 30006 37098 45009 90018 135027 270054 381743 763486 1145229 2290458 3435687 6871374 10307061 20614122 30921183 61842366