Search a number
-
+
55841968 = 2472135479
BaseRepresentation
bin1101010100000…
…1010010110000
310220002001210001
43111001102300
5103243420333
65312515344
71245435400
oct325012260
9126061701
1055841968
1129580996
121684bb54
13b7524b0
1475b8800
154d80b7d
hex35414b0

55841968 has 60 divisors (see below), whose sum is σ = 135564240. Its totient is φ = 22087296.

The previous prime is 55841927. The next prime is 55841971. The reversal of 55841968 is 86914855.

It is a super-2 number, since 2×558419682 = 6236650780226048, 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, 7453 + ... + 12931.

It is an arithmetic number, because the mean of its divisors is an integer number (2259404).

Almost surely, 255841968 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 55841968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67782120).

55841968 is an abundant number, since it is smaller than the sum of its proper divisors (79722272).

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

55841968 is a wasteful number, since it uses less digits than its factorization.

55841968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5514 (or 5501 counting only the distinct ones).

The product of its digits is 345600, while the sum is 46.

The square root of 55841968 is about 7472.7483565285. The cubic root of 55841968 is about 382.2260113700.

The spelling of 55841968 in words is "fifty-five million, eight hundred forty-one thousand, nine hundred sixty-eight".

Divisors: 1 2 4 7 8 13 14 16 26 28 49 52 56 91 98 104 112 182 196 208 364 392 637 728 784 1274 1456 2548 5096 5479 10192 10958 21916 38353 43832 71227 76706 87664 142454 153412 268471 284908 306824 498589 536942 569816 613648 997178 1073884 1139632 1994356 2147768 3490123 3988712 4295536 6980246 7977424 13960492 27920984 55841968