Base | Representation |
---|---|
bin | 1110101110110… |
… | …1100110000000 |
3 | 11022021021202110 |
4 | 3223231212000 |
5 | 111304244332 |
6 | 10044215320 |
7 | 1350132333 |
oct | 353554600 |
9 | 138237673 |
10 | 61790592 |
11 | 31974206 |
12 | 1883a540 |
13 | ca55ca6 |
14 | 82c661a |
15 | 56584cc |
hex | 3aed980 |
61790592 has 64 divisors (see below), whose sum is σ = 168606000. Its totient is φ = 20035584.
The previous prime is 61790587. The next prime is 61790593. The reversal of 61790592 is 29509716.
61790592 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a tau number, because it is divible by the number of its divisors (64).
It is a super-4 number, since 4×617905924 (a number of 32 digits) contains 4444 as substring.
It is a self number, because there is not a number n which added to its sum of digits gives 61790592.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (61790593) 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, 12034 + ... + 16382.
Almost surely, 261790592 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 61790592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84303000).
61790592 is an abundant number, since it is smaller than the sum of its proper divisors (106815408).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
61790592 is a wasteful number, since it uses less digits than its factorization.
61790592 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 4403 (or 4391 counting only the distinct ones).
The product of its (nonzero) digits is 34020, while the sum is 39.
The square root of 61790592 is about 7860.6992055415. The cubic root of 61790592 is about 395.3430593331.
It can be divided in two parts, 61 and 790592, that added together give a triangular number (790653 = T1257).
The spelling of 61790592 in words is "sixty-one million, seven hundred ninety thousand, five hundred ninety-two".
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