Search a number
-
+
2404101024 = 253213642121
BaseRepresentation
bin1000111101001011…
…1010101110100000
320012112201222121200
42033102322232200
514410422213044
61034320121200
7113401343613
oct21722725640
96175658550
102404101024
111024063756
12571166200
132c40c34b0
1418b40a17a
15e10d6369
hex8f4baba0

2404101024 has 72 divisors (see below), whose sum is σ = 7362570852. Its totient is φ = 739722240.

The previous prime is 2404100999. The next prime is 2404101031. The reversal of 2404101024 is 4201014042.

2404101024 is a `hidden beast` number, since 240 + 410 + 10 + 2 + 4 = 666.

2404101024 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 2402960400 + 1140624 = 49020^2 + 1068^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2404100988 and 2404101006.

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, 317317 + ... + 324804.

Almost surely, 22404101024 is an apocalyptic number.

2404101024 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2404101024 is an abundant number, since it is smaller than the sum of its proper divisors (4958469828).

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

2404101024 is a wasteful number, since it uses less digits than its factorization.

2404101024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 642150 (or 642139 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 2404101024 is about 49031.6328914304. The cubic root of 2404101024 is about 1339.6280663745.

Adding to 2404101024 its reverse (4201014042), we get a palindrome (6605115066).

The spelling of 2404101024 in words is "two billion, four hundred four million, one hundred one thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 72 78 96 104 117 144 156 208 234 288 312 416 468 624 936 1248 1872 3744 642121 1284242 1926363 2568484 3852726 5136968 5779089 7705452 8347573 10273936 11558178 15410904 16695146 20547872 23116356 25042719 30821808 33390292 46232712 50085438 61643616 66780584 75128157 92465424 100170876 133561168 150256314 184930848 200341752 267122336 300512628 400683504 601025256 801367008 1202050512 2404101024