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55430496 = 25321117497
BaseRepresentation
bin1101001101110…
…0110101100000
310212022011100100
43103130311200
5103142233441
65300022400
71242102642
oct323346540
9125264310
1055430496
112931a830
1216691a00
13b63a114
14750c892
154cedcb6
hex34dcd60

55430496 has 72 divisors (see below), whose sum is σ = 171970344. Its totient is φ = 16796160.

The previous prime is 55430491. The next prime is 55430503. The reversal of 55430496 is 69403455.

It is a happy number.

55430496 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 55430496.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55430491) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5581 + ... + 11916.

It is an arithmetic number, because the mean of its divisors is an integer number (2388477).

Almost surely, 255430496 is an apocalyptic number.

It is an amenable number.

55430496 is an abundant number, since it is smaller than the sum of its proper divisors (116539848).

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

55430496 is a wasteful number, since it uses less digits than its factorization.

55430496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17524 (or 17513 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The square root of 55430496 is about 7445.1659484527. The cubic root of 55430496 is about 381.2848841680.

The spelling of 55430496 in words is "fifty-five million, four hundred thirty thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 66 72 88 96 99 132 144 176 198 264 288 352 396 528 792 1056 1584 3168 17497 34994 52491 69988 104982 139976 157473 192467 209964 279952 314946 384934 419928 559904 577401 629892 769868 839856 1154802 1259784 1539736 1679712 1732203 2309604 2519568 3079472 3464406 4619208 5039136 6158944 6928812 9238416 13857624 18476832 27715248 55430496