Search a number
-
+
2462372020 = 225294245469
BaseRepresentation
bin1001001011000100…
…1101000010110100
320100121101110101201
42102301031002310
520020331401040
61044201102244
7115006550113
oct22261150264
96317343351
102462372020
111053a435a9
12588787984
133031b6484
14195057c7a
15e6296a9a
hex92c4d0b4

2462372020 has 24 divisors (see below), whose sum is σ = 5349292200. Its totient is φ = 950984832.

The previous prime is 2462371981. The next prime is 2462372027. The reversal of 2462372020 is 202732642.

It can be written as a sum of positive squares in 4 ways, for example, as 729648144 + 1732723876 = 27012^2 + 41626^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 2462372020.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2462372027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2122155 + ... + 2123314.

It is an arithmetic number, because the mean of its divisors is an integer number (222887175).

Almost surely, 22462372020 is an apocalyptic number.

2462372020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2462372020 is an abundant number, since it is smaller than the sum of its proper divisors (2886920180).

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

2462372020 is a wasteful number, since it uses less digits than its factorization.

2462372020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4245507 (or 4245505 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 28.

The square root of 2462372020 is about 49622.2935785923. The cubic root of 2462372020 is about 1350.3651540804.

The spelling of 2462372020 in words is "two billion, four hundred sixty-two million, three hundred seventy-two thousand, twenty".

Divisors: 1 2 4 5 10 20 29 58 116 145 290 580 4245469 8490938 16981876 21227345 42454690 84909380 123118601 246237202 492474404 615593005 1231186010 2462372020