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55318416 = 24367103167
BaseRepresentation
bin1101001100000…
…1011110010000
310212002110121020
43103001132100
5103130142131
65253355440
71241125116
oct323013620
9125073536
1055318416
11292535aa
1216638b80
13b5cb0ba
1474bdab6
154cca996
hex34c1790

55318416 has 80 divisors (see below), whose sum is σ = 147323904. Its totient is φ = 17880192.

The previous prime is 55318411. The next prime is 55318423. The reversal of 55318416 is 61481355.

It is not an unprimeable number, because it can be changed into a prime (55318411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 331165 + ... + 331331.

Almost surely, 255318416 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 55318416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73661952).

55318416 is an abundant number, since it is smaller than the sum of its proper divisors (92005488).

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

55318416 is a wasteful number, since it uses less digits than its factorization.

55318416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 348 (or 342 counting only the distinct ones).

The product of its digits is 14400, while the sum is 33.

The square root of 55318416 is about 7437.6351080165. The cubic root of 55318416 is about 381.0277258155.

The spelling of 55318416 in words is "fifty-five million, three hundred eighteen thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 48 67 103 134 167 201 206 268 309 334 402 412 501 536 618 668 804 824 1002 1072 1236 1336 1608 1648 2004 2472 2672 3216 4008 4944 6901 8016 11189 13802 17201 20703 22378 27604 33567 34402 41406 44756 51603 55208 67134 68804 82812 89512 103206 110416 134268 137608 165624 179024 206412 268536 275216 331248 412824 537072 825648 1152467 2304934 3457401 4609868 6914802 9219736 13829604 18439472 27659208 55318416