Search a number
-
+
4063603248 = 243330672
BaseRepresentation
bin1111001000110101…
…1010101000110000
3101111012101102201000
43302031122220300
531310240300443
61511121042000
7202462025535
oct36215325060
911435342630
104063603248
1117a58862a1
12954a86300
134c9b60783
142a798cd8c
1518bb3a8d3
hexf235aa30

4063603248 has 60 divisors (see below), whose sum is σ = 11667850680. Its totient is φ = 1354092768.

The previous prime is 4063603241. The next prime is 4063603259. The reversal of 4063603248 is 8423063604.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

4063603248 is a `hidden beast` number, since 4 + 0 + 6 + 3 + 603 + 2 + 48 = 666.

It is a super-2 number, since 2×40636032482 = 33025742714312299008, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (4063603241) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1323411 + ... + 1326477.

It is an arithmetic number, because the mean of its divisors is an integer number (194464178).

Almost surely, 24063603248 is an apocalyptic number.

4063603248 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

4063603248 is an abundant number, since it is smaller than the sum of its proper divisors (7604247432).

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

4063603248 is an frugal number, since it uses more digits than its factorization.

4063603248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6151 (or 3072 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The square root of 4063603248 is about 63746.3979217650. The cubic root of 4063603248 is about 1595.7705023618.

The spelling of 4063603248 in words is "four billion, sixty-three million, six hundred three thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 3067 6134 9201 12268 18402 24536 27603 36804 49072 55206 73608 82809 110412 147216 165618 220824 331236 441648 662472 1324944 9406489 18812978 28219467 37625956 56438934 75251912 84658401 112877868 150503824 169316802 225755736 253975203 338633604 451511472 507950406 677267208 1015900812 1354534416 2031801624 4063603248