Base | Representation |
---|---|
bin | 1110101111100… |
… | …1101000010000 |
3 | 11022100210101020 |
4 | 3223321220100 |
5 | 111312334023 |
6 | 10045235440 |
7 | 1350426135 |
oct | 353715020 |
9 | 138323336 |
10 | 61839888 |
11 | 319a8250 |
12 | 18862b80 |
13 | ca72566 |
14 | 82da58c |
15 | 5667de3 |
hex | 3af9a10 |
61839888 has 80 divisors (see below), whose sum is σ = 175542336. Its totient is φ = 18603520.
The previous prime is 61839887. The next prime is 61839929. The reversal of 61839888 is 88893816.
It is a happy number.
61839888 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a self number, because there is not a number n which added to its sum of digits gives 61839888.
It is not an unprimeable number, because it can be changed into a prime (61839881) 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, 91006 + ... + 91682.
Almost surely, 261839888 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 61839888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87771168).
61839888 is an abundant number, since it is smaller than the sum of its proper divisors (113702448).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
61839888 is a wasteful number, since it uses less digits than its factorization.
61839888 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 872 (or 866 counting only the distinct ones).
The product of its digits is 663552, while the sum is 51.
The square root of 61839888 is about 7863.8341793301. The cubic root of 61839888 is about 395.4481651453.
The spelling of 61839888 in words is "sixty-one million, eight hundred thirty-nine thousand, eight hundred eighty-eight".
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