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5643924 = 22311213223
BaseRepresentation
bin10101100001111010010100
3101121202000020
4111201322110
52421101144
6320545140
765654406
oct25417224
911552006
105643924
113205400
121a821b0
131227c00
14a6cb76
15767419
hex561e94

5643924 has 108 divisors (see below), whose sum is σ = 16355808. Its totient is φ = 1510080.

The previous prime is 5643923. The next prime is 5643961. The reversal of 5643924 is 4293465.

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 (5643923) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 245377 + ... + 245399.

Almost surely, 25643924 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 5643924, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8177904).

5643924 is an abundant number, since it is smaller than the sum of its proper divisors (10711884).

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

5643924 is a wasteful number, since it uses less digits than its factorization.

5643924 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78 (or 52 counting only the distinct ones).

The product of its digits is 25920, while the sum is 33.

The square root of 5643924 is about 2375.6944247946. The cubic root of 5643924 is about 178.0438809460.

The spelling of 5643924 in words is "five million, six hundred forty-three thousand, nine hundred twenty-four".

Divisors: 1 2 3 4 6 11 12 13 22 23 26 33 39 44 46 52 66 69 78 92 121 132 138 143 156 169 242 253 276 286 299 338 363 429 484 506 507 572 598 676 726 759 858 897 1012 1014 1196 1452 1518 1573 1716 1794 1859 2028 2783 3036 3146 3289 3588 3718 3887 4719 5566 5577 6292 6578 7436 7774 8349 9438 9867 11132 11154 11661 13156 15548 16698 18876 19734 20449 22308 23322 33396 36179 39468 40898 42757 46644 61347 72358 81796 85514 108537 122694 128271 144716 171028 217074 245388 256542 434148 470327 513084 940654 1410981 1881308 2821962 5643924