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5524416 = 263323139
BaseRepresentation
bin10101000100101111000000
3101101200002000
4111010233000
52403240131
6314224000
764646112
oct25045700
911350060
105524416
113133637
121a25000
1311b56b1
14a3b3b2
15741ce6
hex544bc0

5524416 has 112 divisors (see below), whose sum is σ = 17068800. Its totient is φ = 1748736.

The previous prime is 5524403. The next prime is 5524423. The reversal of 5524416 is 6144255.

5524416 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 5524416.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39675 + ... + 39813.

It is an arithmetic number, because the mean of its divisors is an integer number (152400).

Almost surely, 25524416 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 5524416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8534400).

5524416 is an abundant number, since it is smaller than the sum of its proper divisors (11544384).

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

5524416 is a wasteful number, since it uses less digits than its factorization.

5524416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183 (or 167 counting only the distinct ones).

The product of its digits is 4800, while the sum is 27.

The square root of 5524416 is about 2350.4076242218. The cubic root of 5524416 is about 176.7782341844.

The spelling of 5524416 in words is "five million, five hundred twenty-four thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 27 32 36 46 48 54 64 69 72 92 96 108 138 139 144 184 192 207 216 276 278 288 368 414 417 432 552 556 576 621 736 828 834 864 1104 1112 1242 1251 1472 1656 1668 1728 2208 2224 2484 2502 3197 3312 3336 3753 4416 4448 4968 5004 6394 6624 6672 7506 8896 9591 9936 10008 12788 13248 13344 15012 19182 19872 20016 25576 26688 28773 30024 38364 39744 40032 51152 57546 60048 76728 80064 86319 102304 115092 120096 153456 172638 204608 230184 240192 306912 345276 460368 613824 690552 920736 1381104 1841472 2762208 5524416