Search a number
-
+
55796384 = 2572231117
BaseRepresentation
bin1101010011011…
…0001010100000
310212222202020202
43110312022200
5103240441014
65311524332
71245155450
oct324661240
9125882222
1055796384
112954a716
12168296a8
13b737817
1475a5d60
154d723de
hex35362a0

55796384 has 48 divisors (see below), whose sum is σ = 126217728. Its totient is φ = 23784192.

The previous prime is 55796383. The next prime is 55796399. The reversal of 55796384 is 48369755.

It is a super-2 number, since 2×557963842 = 6226472934950912, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (55796381) 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 7 ways as a sum of consecutive naturals, for example, 49394 + ... + 50510.

It is an arithmetic number, because the mean of its divisors is an integer number (2629536).

Almost surely, 255796384 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 55796384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63108864).

55796384 is an abundant number, since it is smaller than the sum of its proper divisors (70421344).

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

55796384 is a wasteful number, since it uses less digits than its factorization.

55796384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1357 (or 1349 counting only the distinct ones).

The product of its digits is 907200, while the sum is 47.

The square root of 55796384 is about 7469.6977181142. The cubic root of 55796384 is about 382.1219789000.

The spelling of 55796384 in words is "fifty-five million, seven hundred ninety-six thousand, three hundred eighty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 223 224 446 892 1117 1561 1784 2234 3122 3568 4468 6244 7136 7819 8936 12488 15638 17872 24976 31276 35744 49952 62552 125104 249091 250208 498182 996364 1743637 1992728 3487274 3985456 6974548 7970912 13949096 27898192 55796384