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61713444 = 223131947443
BaseRepresentation
bin1110101101101…
…0110000100100
311022010100221010
43223122300210
5111244312234
610042422220
71346361402
oct353326044
9138110833
1061713444
1131921251
1218801970
13ca29b40
1482a6472
1556406e9
hex3adac24

61713444 has 96 divisors (see below), whose sum is σ = 167086080. Its totient is φ = 17566848.

The previous prime is 61713419. The next prime is 61713461. The reversal of 61713444 is 44431716.

61713444 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 2×617134442 = 7617098340682272, which contains 22 as substring.

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 31 ways as a sum of consecutive naturals, for example, 139087 + ... + 139529.

It is an arithmetic number, because the mean of its divisors is an integer number (1740480).

Almost surely, 261713444 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 61713444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83543040).

61713444 is an abundant number, since it is smaller than the sum of its proper divisors (105372636).

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

61713444 is a wasteful number, since it uses less digits than its factorization.

61713444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 529 (or 527 counting only the distinct ones).

The product of its digits is 8064, while the sum is 30.

The square root of 61713444 is about 7855.7904758210. The cubic root of 61713444 is about 395.1784569903.

The spelling of 61713444 in words is "sixty-one million, seven hundred thirteen thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 12 13 19 26 38 39 47 52 57 76 78 94 114 141 156 188 228 247 282 443 494 564 611 741 886 893 988 1222 1329 1482 1772 1786 1833 2444 2658 2679 2964 3572 3666 5316 5358 5759 7332 8417 10716 11518 11609 16834 17277 20821 23036 23218 25251 33668 34554 34827 41642 46436 50502 62463 69108 69654 83284 101004 109421 124926 139308 218842 249852 270673 328263 395599 437684 541346 656526 791198 812019 1082692 1186797 1313052 1582396 1624038 2373594 3248076 4747188 5142787 10285574 15428361 20571148 30856722 61713444