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61289888 = 251131439
BaseRepresentation
bin1110100111001…
…1010110100000
311021022211220212
43221303112200
5111142234023
610025353252
71342645502
oct351632640
9137284825
1061289888
1131662000
1218638828
13c90c10a
1481d5d72
1555a9e78
hex3a735a0

61289888 has 48 divisors (see below), whose sum is σ = 132814080. Its totient is φ = 27839680.

The previous prime is 61289887. The next prime is 61289897. The reversal of 61289888 is 88898216.

61289888 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (61289887) 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, 41873 + ... + 43311.

It is an arithmetic number, because the mean of its divisors is an integer number (2766960).

Almost surely, 261289888 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 61289888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66407040).

61289888 is an abundant number, since it is smaller than the sum of its proper divisors (71524192).

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

61289888 is a wasteful number, since it uses less digits than its factorization.

61289888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1482 (or 1452 counting only the distinct ones).

The product of its digits is 442368, while the sum is 50.

The square root of 61289888 is about 7828.7858573345. The cubic root of 61289888 is about 394.2723086830.

The spelling of 61289888 in words is "sixty-one million, two hundred eighty-nine thousand, eight hundred eighty-eight".

Divisors: 1 2 4 8 11 16 22 32 44 88 121 176 242 352 484 968 1331 1439 1936 2662 2878 3872 5324 5756 10648 11512 15829 21296 23024 31658 42592 46048 63316 126632 174119 253264 348238 506528 696476 1392952 1915309 2785904 3830618 5571808 7661236 15322472 30644944 61289888