Search a number
-
+
55405312 = 281729439
BaseRepresentation
bin1101001101011…
…0101100000000
310212020212210121
43103112230000
5103140432222
65255310024
71241636344
oct323265400
9125225717
1055405312
1129302916
121667b314
13b62b811
147503624
154ce65c7
hex34d6b00

55405312 has 72 divisors (see below), whose sum is σ = 121413600. Its totient is φ = 25116672.

The previous prime is 55405297. The next prime is 55405313. The reversal of 55405312 is 21350455.

It is not an unprimeable number, because it can be changed into a prime (55405313) 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, 125989 + ... + 126427.

It is an arithmetic number, because the mean of its divisors is an integer number (1686300).

Almost surely, 255405312 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 55405312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60706800).

55405312 is an abundant number, since it is smaller than the sum of its proper divisors (66008288).

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

55405312 is a wasteful number, since it uses less digits than its factorization.

55405312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 501 (or 487 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 25.

The square root of 55405312 is about 7443.4744575366. The cubic root of 55405312 is about 381.2271317646.

Adding to 55405312 its reverse (21350455), we get a palindrome (76755767).

The spelling of 55405312 in words is "fifty-five million, four hundred five thousand, three hundred twelve".

Divisors: 1 2 4 8 16 17 29 32 34 58 64 68 116 128 136 232 256 272 439 464 493 544 878 928 986 1088 1756 1856 1972 2176 3512 3712 3944 4352 7024 7424 7463 7888 12731 14048 14926 15776 25462 28096 29852 31552 50924 56192 59704 63104 101848 112384 119408 126208 203696 216427 238816 407392 432854 477632 814784 865708 955264 1629568 1731416 1910528 3259136 3462832 6925664 13851328 27702656 55405312