Search a number
-
+
54566256 = 2435389241
BaseRepresentation
bin1101000000100…
…1110101110000
310210200020211110
43100021311300
5102432110011
65225313320
71231543203
oct320116560
9123606743
1054566256
112888a488
1216335840
13b3c6934
14736593a
154bccba6
hex3409d70

54566256 has 80 divisors (see below), whose sum is σ = 145838880. Its totient is φ = 17571840.

The previous prime is 54566221. The next prime is 54566261. The reversal of 54566256 is 65266545.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

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, 226296 + ... + 226536.

It is an arithmetic number, because the mean of its divisors is an integer number (1822986).

Almost surely, 254566256 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 54566256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72919440).

54566256 is an abundant number, since it is smaller than the sum of its proper divisors (91272624).

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

54566256 is a wasteful number, since it uses less digits than its factorization.

54566256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 394 (or 388 counting only the distinct ones).

The product of its digits is 216000, while the sum is 39.

The square root of 54566256 is about 7386.8975896516. The cubic root of 54566256 is about 379.2929048298.

The spelling of 54566256 in words is "fifty-four million, five hundred sixty-six thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 48 53 89 106 159 178 212 241 267 318 356 424 482 534 636 712 723 848 964 1068 1272 1424 1446 1928 2136 2544 2892 3856 4272 4717 5784 9434 11568 12773 14151 18868 21449 25546 28302 37736 38319 42898 51092 56604 64347 75472 76638 85796 102184 113208 128694 153276 171592 204368 226416 257388 306552 343184 514776 613104 1029552 1136797 2273594 3410391 4547188 6820782 9094376 13641564 18188752 27283128 54566256