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5532384 = 2531113231
BaseRepresentation
bin10101000110101011100000
3101102002000010
4111012223200
52404014014
6314324520
765011254
oct25065340
911362003
105532384
113139620
121a29740
1311b9200
14a40264
15744359
hex546ae0

5532384 has 144 divisors (see below), whose sum is σ = 17708544. Its totient is φ = 1497600.

The previous prime is 5532377. The next prime is 5532389. The reversal of 5532384 is 4832355.

It is an Ulam number.

Its product of digits (14400) is a multiple of the sum of its prime divisors (60).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5532389) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 178449 + ... + 178479.

It is an arithmetic number, because the mean of its divisors is an integer number (122976).

Almost surely, 25532384 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 5532384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8854272).

5532384 is an abundant number, since it is smaller than the sum of its proper divisors (12176160).

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

5532384 is a wasteful number, since it uses less digits than its factorization.

5532384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81 (or 60 counting only the distinct ones).

The product of its digits is 14400, while the sum is 30.

The square root of 5532384 is about 2352.1020386029. The cubic root of 5532384 is about 176.8631838760.

The spelling of 5532384 in words is "five million, five hundred thirty-two thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 11 12 13 16 22 24 26 31 32 33 39 44 48 52 62 66 78 88 93 96 104 124 132 143 156 169 176 186 208 248 264 286 312 338 341 352 372 403 416 429 496 507 528 572 624 676 682 744 806 858 992 1014 1023 1056 1144 1209 1248 1352 1364 1488 1612 1716 1859 2028 2046 2288 2418 2704 2728 2976 3224 3432 3718 4056 4092 4433 4576 4836 5239 5408 5456 5577 6448 6864 7436 8112 8184 8866 9672 10478 10912 11154 12896 13299 13728 14872 15717 16224 16368 17732 19344 20956 22308 26598 29744 31434 32736 35464 38688 41912 44616 53196 57629 59488 62868 70928 83824 89232 106392 115258 125736 141856 167648 172887 178464 212784 230516 251472 345774 425568 461032 502944 691548 922064 1383096 1844128 2766192 5532384