Search a number
-
+
2420380448 = 256111310973
BaseRepresentation
bin1001000001000100…
…0001001100100000
320020200101001210022
42100101001030200
514424104133243
61040101053012
7113656615523
oct22021011440
96220331708
102420380448
111032272722
125766b7168
132c75a32a5
1418d646bba
15e274eb68
hex90441320

2420380448 has 48 divisors (see below), whose sum is σ = 4886546616. Its totient is φ = 1179709440.

The previous prime is 2420380447. The next prime is 2420380471. The reversal of 2420380448 is 8440830242.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 730512784 + 1689867664 = 27028^2 + 41108^2 .

It is not an unprimeable number, because it can be changed into a prime (2420380447) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 215090 + ... + 226062.

Almost surely, 22420380448 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 2420380448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2443273308).

2420380448 is an abundant number, since it is smaller than the sum of its proper divisors (2466166168).

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

2420380448 is a wasteful number, since it uses less digits than its factorization.

2420380448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11157 (or 11149 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 35.

The square root of 2420380448 is about 49197.3622057118. The cubic root of 2420380448 is about 1342.6450405827.

The spelling of 2420380448 in words is "two billion, four hundred twenty million, three hundred eighty thousand, four hundred forty-eight".

Divisors: 1 2 4 8 16 32 61 113 122 226 244 452 488 904 976 1808 1952 3616 6893 10973 13786 21946 27572 43892 55144 87784 110288 175568 220576 351136 669353 1239949 1338706 2479898 2677412 4959796 5354824 9919592 10709648 19839184 21419296 39678368 75636889 151273778 302547556 605095112 1210190224 2420380448