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61880382 = 23311310141
BaseRepresentation
bin1110110000001…
…1100000111110
311022102211221000
43230003200332
5111320133012
610050151130
71350655164
oct354034076
9138384830
1061880382
1131a25713
12188824a6
13ca87b15
14830b234
155674ddc
hex3b0383e

61880382 has 32 divisors (see below), whose sum is σ = 138742560. Its totient is φ = 20442240.

The previous prime is 61880381. The next prime is 61880383. The reversal of 61880382 is 28308816.

61880382 is a `hidden beast` number, since 618 + 8 + 0 + 38 + 2 = 666.

61880382 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (61880381) and next prime (61880383).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61880381) 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 15 ways as a sum of consecutive naturals, for example, 1032 + ... + 11172.

It is an arithmetic number, because the mean of its divisors is an integer number (4335705).

Almost surely, 261880382 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61880382, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69371280).

61880382 is an abundant number, since it is smaller than the sum of its proper divisors (76862178).

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

61880382 is a wasteful number, since it uses less digits than its factorization.

61880382 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10265 (or 10259 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 61880382 is about 7866.4084562143. The cubic root of 61880382 is about 395.5344621105.

The spelling of 61880382 in words is "sixty-one million, eight hundred eighty thousand, three hundred eighty-two".

Divisors: 1 2 3 6 9 18 27 54 113 226 339 678 1017 2034 3051 6102 10141 20282 30423 60846 91269 182538 273807 547614 1145933 2291866 3437799 6875598 10313397 20626794 30940191 61880382