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5561946 = 2341319139
BaseRepresentation
bin10101001101111001011010
3101110120120000
4111031321122
52410440241
6315113430
765163405
oct25157132
911416500
105561946
113159855
121a42876
1311c97c0
14a4ad3c
1574ceb6
hex54de5a

5561946 has 80 divisors (see below), whose sum is σ = 14229600. Its totient is φ = 1609632.

The previous prime is 5561917. The next prime is 5561947. The reversal of 5561946 is 6491655.

5561946 is a `hidden beast` number, since 5 + 561 + 94 + 6 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 5561946.

It is not an unprimeable number, because it can be changed into a prime (5561947) 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 39 ways as a sum of consecutive naturals, for example, 39945 + ... + 40083.

It is an arithmetic number, because the mean of its divisors is an integer number (177870).

Almost surely, 25561946 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5561946, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7114800).

5561946 is an abundant number, since it is smaller than the sum of its proper divisors (8667654).

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

5561946 is a wasteful number, since it uses less digits than its factorization.

5561946 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185 (or 176 counting only the distinct ones).

The product of its digits is 32400, while the sum is 36.

The square root of 5561946 is about 2358.3778323246. The cubic root of 5561946 is about 177.1776441146.

It can be divided in two parts, 55 and 61946, that added together give a square (62001 = 2492).

The spelling of 5561946 in words is "five million, five hundred sixty-one thousand, nine hundred forty-six".

Divisors: 1 2 3 6 9 13 18 19 26 27 38 39 54 57 78 81 114 117 139 162 171 234 247 278 342 351 417 494 513 702 741 834 1026 1053 1251 1482 1539 1807 2106 2223 2502 2641 3078 3614 3753 4446 5282 5421 6669 7506 7923 10842 11259 13338 15846 16263 20007 22518 23769 32526 34333 40014 47538 48789 68666 71307 97578 102999 142614 146367 205998 213921 292734 308997 427842 617994 926991 1853982 2780973 5561946