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61249986 = 2337315227
BaseRepresentation
bin1110100110100…
…1100111000010
311021020211012000
43221221213002
5111134444421
610024444430
71342421250
oct351514702
9137224160
1061249986
1131635026
1218619716
13c8c6bc5
1481c55d0
15559d226
hex3a699c2

61249986 has 64 divisors (see below), whose sum is σ = 160604160. Its totient is φ = 16932240.

The previous prime is 61249949. The next prime is 61249999. The reversal of 61249986 is 68994216.

It is a happy number.

61249986 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 31 ways as a sum of consecutive naturals, for example, 9105 + ... + 14331.

It is an arithmetic number, because the mean of its divisors is an integer number (2509440).

Almost surely, 261249986 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61249986, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80302080).

61249986 is an abundant number, since it is smaller than the sum of its proper divisors (99354174).

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

61249986 is a wasteful number, since it uses less digits than its factorization.

61249986 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5276 (or 5270 counting only the distinct ones).

The product of its digits is 186624, while the sum is 45.

The square root of 61249986 is about 7826.2370268220. The cubic root of 61249986 is about 394.1867281220.

It can be divided in two parts, 6124 and 9986, that added together give a triangular number (16110 = T179).

The spelling of 61249986 in words is "sixty-one million, two hundred forty-nine thousand, nine hundred eighty-six".

Divisors: 1 2 3 6 7 9 14 18 21 27 31 42 54 62 63 93 126 186 189 217 279 378 434 558 651 837 1302 1674 1953 3906 5227 5859 10454 11718 15681 31362 36589 47043 73178 94086 109767 141129 162037 219534 282258 324074 329301 486111 658602 972222 987903 1134259 1458333 1975806 2268518 2916666 3402777 4374999 6805554 8749998 10208331 20416662 30624993 61249986