Search a number
-
+
61609812 = 223112151281
BaseRepresentation
bin1110101100000…
…1011101010100
311021221002202220
43223001131110
5111233003222
610040302340
71345450305
oct353013524
9137832686
1061609812
1131860400
12187719b0
13c9c1914
14827a7ac
15561eb5c
hex3ac1754

61609812 has 72 divisors (see below), whose sum is σ = 159625536. Its totient is φ = 18480000.

The previous prime is 61609811. The next prime is 61609829. The reversal of 61609812 is 21890616.

61609812 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61609811) 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 23 ways as a sum of consecutive naturals, for example, 219112 + ... + 219392.

Almost surely, 261609812 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 61609812, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79812768).

61609812 is an abundant number, since it is smaller than the sum of its proper divisors (98015724).

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

61609812 is a wasteful number, since it uses less digits than its factorization.

61609812 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 461 (or 448 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 33.

The square root of 61609812 is about 7849.1918055300. The cubic root of 61609812 is about 394.9571325589.

The spelling of 61609812 in words is "sixty-one million, six hundred nine thousand, eight hundred twelve".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 121 132 151 242 281 302 363 453 484 562 604 726 843 906 1124 1452 1661 1686 1812 3091 3322 3372 4983 6182 6644 9273 9966 12364 18271 18546 19932 34001 36542 37092 42431 54813 68002 73084 84862 102003 109626 127293 136004 169724 204006 219252 254586 408012 466741 509172 933482 1400223 1866964 2800446 5134151 5600892 10268302 15402453 20536604 30804906 61609812