Search a number
-
+
4794559040 = 26531347869
BaseRepresentation
bin1000111011100011…
…10010101001000000
3110101010210211112202
410131301302221000
534304401342130
62111432012332
7226546036145
oct43561625100
913333724482
104794559040
112040449197
12b198310a8
135b541abab
14336aa43cc
151d0dc5145
hex11dc72a40

4794559040 has 56 divisors (see below), whose sum is σ = 11453759160. Its totient is φ = 1911656448.

The previous prime is 4794559019. The next prime is 4794559111. The reversal of 4794559040 is 409554974.

It can be written as a sum of positive squares in 4 ways, for example, as 82011136 + 4712547904 = 9056^2 + 68648^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 76226 + ... + 124094.

Almost surely, 24794559040 is an apocalyptic number.

4794559040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4794559040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5726879580).

4794559040 is an abundant number, since it is smaller than the sum of its proper divisors (6659200120).

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

4794559040 is a wasteful number, since it uses less digits than its factorization.

4794559040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48199 (or 48189 counting only the distinct ones).

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

The square root of 4794559040 is about 69242.7544223943. The cubic root of 4794559040 is about 1686.2277169303.

The spelling of 4794559040 in words is "four billion, seven hundred ninety-four million, five hundred fifty-nine thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 313 320 626 1252 1565 2504 3130 5008 6260 10016 12520 20032 25040 47869 50080 95738 100160 191476 239345 382952 478690 765904 957380 1531808 1914760 3063616 3829520 7659040 14982997 15318080 29965994 59931988 74914985 119863976 149829970 239727952 299659940 479455904 599319880 958911808 1198639760 2397279520 4794559040