Search a number
-
+
55844768 = 25761267
BaseRepresentation
bin1101010100000…
…1111110100000
310220002012121202
43111001332200
5103244013033
65312540332
71245446510
oct325017640
9126065552
1055844768
1129583001
12168516a8
13b753855
1475b9840
154d818e8
hex3541fa0

55844768 has 72 divisors (see below), whose sum is σ = 129650976. Its totient is φ = 23189760.

The previous prime is 55844717. The next prime is 55844791. The reversal of 55844768 is 86744855.

It is a super-2 number, since 2×558447682 = 6237276225947648, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 833471 + ... + 833537.

It is an arithmetic number, because the mean of its divisors is an integer number (1800708).

Almost surely, 255844768 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 55844768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64825488).

55844768 is an abundant number, since it is smaller than the sum of its proper divisors (73806208).

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

55844768 is an equidigital number, since it uses as much as digits as its factorization.

55844768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206 (or 137 counting only the distinct ones).

The product of its digits is 1075200, while the sum is 47.

The square root of 55844768 is about 7472.9357015834. The cubic root of 55844768 is about 382.2323997250.

The spelling of 55844768 in words is "fifty-five million, eight hundred forty-four thousand, seven hundred sixty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 56 61 67 112 122 134 224 244 268 427 469 488 536 854 938 976 1072 1708 1876 1952 2144 3416 3721 3752 4087 6832 7442 7504 8174 13664 14884 15008 16348 26047 28609 29768 32696 52094 57218 59536 65392 104188 114436 119072 130784 208376 228872 249307 416752 457744 498614 833504 915488 997228 1745149 1994456 3490298 3988912 6980596 7977824 13961192 27922384 55844768