Search a number
-
+
61543332 = 223217227443
BaseRepresentation
bin1110101011000…
…1001110100100
311021210201120200
43222301032210
5111223341312
610035030500
71345052424
oct352611644
9137721520
1061543332
1131815464
121873b430
13c99a596
148260484
15560a0dc
hex3ab13a4

61543332 has 72 divisors (see below), whose sum is σ = 165818016. Its totient is φ = 19179264.

The previous prime is 61543309. The next prime is 61543333. The reversal of 61543332 is 23334516.

It is a happy number.

61543332 is a `hidden beast` number, since 615 + 43 + 3 + 3 + 2 = 666.

61543332 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 61543296 and 61543305.

It is not an unprimeable number, because it can be changed into a prime (61543333) 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, 138703 + ... + 139145.

It is an arithmetic number, because the mean of its divisors is an integer number (2303028).

Almost surely, 261543332 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 61543332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82909008).

61543332 is an abundant number, since it is smaller than the sum of its proper divisors (104274684).

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

61543332 is a wasteful number, since it uses less digits than its factorization.

61543332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 697 (or 692 counting only the distinct ones).

The product of its digits is 6480, while the sum is 27.

The square root of 61543332 is about 7844.9558316156. The cubic root of 61543332 is about 394.8150220785.

Adding to 61543332 its reverse (23334516), we get a palindrome (84877848).

The spelling of 61543332 in words is "sixty-one million, five hundred forty-three thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 227 306 443 454 612 681 886 908 1329 1362 1772 2043 2658 2724 3859 3987 4086 5316 7531 7718 7974 8172 11577 15062 15436 15948 22593 23154 30124 34731 45186 46308 67779 69462 90372 100561 135558 138924 201122 271116 301683 402244 603366 905049 1206732 1709537 1810098 3419074 3620196 5128611 6838148 10257222 15385833 20514444 30771666 61543332