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55444224 = 283116563
BaseRepresentation
bin1101001110000…
…0001100000000
310212022212011210
43103200030000
5103143203344
65300210120
71242160653
oct323401400
9125285153
1055444224
112932a080
1216699940
13b643444
14751389a
154d02db9
hex34e0300

55444224 has 72 divisors (see below), whose sum is σ = 161001792. Its totient is φ = 16798720.

The previous prime is 55444217. The next prime is 55444273. The reversal of 55444224 is 42244455.

It is a junction number, because it is equal to n+sod(n) for n = 55444191 and 55444200.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5167 + ... + 11729.

It is an arithmetic number, because the mean of its divisors is an integer number (2236136).

Almost surely, 255444224 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 55444224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80500896).

55444224 is an abundant number, since it is smaller than the sum of its proper divisors (105557568).

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

55444224 is a wasteful number, since it uses less digits than its factorization.

55444224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6593 (or 6579 counting only the distinct ones).

The product of its digits is 25600, while the sum is 30.

The square root of 55444224 is about 7446.0878318752. The cubic root of 55444224 is about 381.3163580992.

Adding to 55444224 its reverse (42244455), we get a palindrome (97688679).

The spelling of 55444224 in words is "fifty-five million, four hundred forty-four thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 256 264 352 384 528 704 768 1056 1408 2112 2816 4224 6563 8448 13126 19689 26252 39378 52504 72193 78756 105008 144386 157512 210016 216579 288772 315024 420032 433158 577544 630048 840064 866316 1155088 1260096 1680128 1732632 2310176 2520192 3465264 4620352 5040384 6930528 9240704 13861056 18481408 27722112 55444224