Search a number
-
+
61042112 = 264143541
BaseRepresentation
bin1110100011011…
…0110111000000
311020212021000222
43220312313000
5111111321422
610020202212
71340564225
oct350666700
9136767028
1061042112
113150292a
1218539368
13c8533c1
14816d94c
15555b842
hex3a36dc0

61042112 has 56 divisors (see below), whose sum is σ = 127205232. Its totient is φ = 29030400.

The previous prime is 61042103. The next prime is 61042123. The reversal of 61042112 is 21124016.

61042112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×610421122 = 7452278874841088, which contains 22 as substring.

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 7 ways as a sum of consecutive naturals, for example, 112562 + ... + 113102.

It is an arithmetic number, because the mean of its divisors is an integer number (2271522).

Almost surely, 261042112 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 61042112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63602616).

61042112 is an abundant number, since it is smaller than the sum of its proper divisors (66163120).

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

61042112 is a wasteful number, since it uses less digits than its factorization.

61042112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 637 (or 627 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

The square root of 61042112 is about 7812.9451553176. The cubic root of 61042112 is about 393.7402842316.

Adding to 61042112 its reverse (21124016), we get a palindrome (82166128).

The spelling of 61042112 in words is "sixty-one million, forty-two thousand, one hundred twelve".

Divisors: 1 2 4 8 16 32 41 43 64 82 86 164 172 328 344 541 656 688 1082 1312 1376 1763 2164 2624 2752 3526 4328 7052 8656 14104 17312 22181 23263 28208 34624 44362 46526 56416 88724 93052 112832 177448 186104 354896 372208 709792 744416 953783 1419584 1488832 1907566 3815132 7630264 15260528 30521056 61042112