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5445216 = 253273773
BaseRepresentation
bin10100110001011001100000
3101020122102200
4110301121200
52343221331
6312413200
764166160
oct24613140
911218380
105445216
11308a087
1219a7200
13118862a
14a1a5a0
157285e6
hex531660

5445216 has 144 divisors (see below), whose sum is σ = 18424224. Its totient is φ = 1492992.

The previous prime is 5445199. The next prime is 5445217. The reversal of 5445216 is 6125445.

5445216 is a `hidden beast` number, since 5 + 445 + 216 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a self number, because there is not a number n which added to its sum of digits gives 5445216.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5445217) 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, 74556 + ... + 74628.

It is an arithmetic number, because the mean of its divisors is an integer number (127946).

Almost surely, 25445216 is an apocalyptic number.

5445216 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5445216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9212112).

5445216 is an abundant number, since it is smaller than the sum of its proper divisors (12979008).

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

5445216 is a wasteful number, since it uses less digits than its factorization.

5445216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 122 counting only the distinct ones).

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

The square root of 5445216 is about 2333.4986608096. The cubic root of 5445216 is about 175.9293793805.

The spelling of 5445216 in words is "five million, four hundred forty-five thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 37 42 48 56 63 72 73 74 84 96 111 112 126 144 146 148 168 219 222 224 252 259 288 292 296 333 336 438 444 504 511 518 584 592 657 666 672 777 876 888 1008 1022 1036 1168 1184 1314 1332 1533 1554 1752 1776 2016 2044 2072 2331 2336 2628 2664 2701 3066 3108 3504 3552 4088 4144 4599 4662 5256 5328 5402 6132 6216 7008 8103 8176 8288 9198 9324 10512 10656 10804 12264 12432 16206 16352 18396 18648 18907 21024 21608 24309 24528 24864 32412 36792 37296 37814 43216 48618 49056 56721 64824 73584 74592 75628 86432 97236 113442 129648 147168 151256 170163 194472 226884 259296 302512 340326 388944 453768 605024 680652 777888 907536 1361304 1815072 2722608 5445216