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61738038 = 235127033
BaseRepresentation
bin1110101110000…
…0110000110110
311022011121200000
43223200300312
5111301104123
610043132130
71346523165
oct353406066
9138147600
1061738038
113193877a
1218814046
13ca380ab
1482b13dc
155647b43
hex3ae0c36

61738038 has 24 divisors (see below), whose sum is σ = 138721128. Its totient is φ = 20579184.

The previous prime is 61738009. The next prime is 61738051. The reversal of 61738038 is 83083716.

61738038 is a `hidden beast` number, since 617 + 3 + 8 + 0 + 38 = 666.

61738038 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 61737993 and 61738011.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 63031 + ... + 64002.

It is an arithmetic number, because the mean of its divisors is an integer number (5780047).

Almost surely, 261738038 is an apocalyptic number.

61738038 is an abundant number, since it is smaller than the sum of its proper divisors (76983090).

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

61738038 is a wasteful number, since it uses less digits than its factorization.

61738038 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127050 (or 127038 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 61738038 is about 7857.3556620532. The cubic root of 61738038 is about 395.2309454356.

The spelling of 61738038 in words is "sixty-one million, seven hundred thirty-eight thousand, thirty-eight".

Divisors: 1 2 3 6 9 18 27 54 81 162 243 486 127033 254066 381099 762198 1143297 2286594 3429891 6859782 10289673 20579346 30869019 61738038