Search a number
-
+
4050790576 = 247194344269
BaseRepresentation
bin1111000101110010…
…0010100010110000
3101110022021111000121
43301130202202300
531244000244301
61505542300024
7202245103030
oct36134424260
911408244017
104050790576
111799624a08
12950727614
134c72c5901
142a5db58c0
1518a9593a1
hexf17228b0

4050790576 has 80 divisors (see below), whose sum is σ = 9661484800. Its totient is φ = 1606397184.

The previous prime is 4050790573. The next prime is 4050790609. The reversal of 4050790576 is 6750970504.

It is a super-2 number, since 2×40507905762 = 32817808581220823552, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (43).

It is not an unprimeable number, because it can be changed into a prime (4050790571) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 69370 + ... + 113638.

It is an arithmetic number, because the mean of its divisors is an integer number (120768560).

Almost surely, 24050790576 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 4050790576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4830742400).

4050790576 is an abundant number, since it is smaller than the sum of its proper divisors (5610694224).

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

4050790576 is a wasteful number, since it uses less digits than its factorization.

4050790576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44346 (or 44340 counting only the distinct ones).

The product of its (nonzero) digits is 264600, while the sum is 43.

The square root of 4050790576 is about 63645.8213553726. The cubic root of 4050790576 is about 1594.0915646014.

The spelling of 4050790576 in words is "four billion, fifty million, seven hundred ninety thousand, five hundred seventy-six".

Divisors: 1 2 4 7 8 14 16 19 28 38 43 56 76 86 112 133 152 172 266 301 304 344 532 602 688 817 1064 1204 1634 2128 2408 3268 4816 5719 6536 11438 13072 22876 44269 45752 88538 91504 177076 309883 354152 619766 708304 841111 1239532 1682222 1903567 2479064 3364444 3807134 4958128 5887777 6728888 7614268 11775554 13324969 13457776 15228536 23551108 26649938 30457072 36167773 47102216 53299876 72335546 94204432 106599752 144671092 213199504 253174411 289342184 506348822 578684368 1012697644 2025395288 4050790576