Search a number
-
+
2473798320 = 243557453
BaseRepresentation
bin1001001101110011…
…0010101010110000
320101101212222100000
42103130302222300
520031243021240
61045250030000
7115205640000
oct22334625260
96341788300
102473798320
11105a438324
12590578300
133056872b6
14196790000
15e72a2430
hex93732ab0

2473798320 has 600 divisors, whose sum is σ = 10240500816. Its totient is φ = 554770944.

The previous prime is 2473798303. The next prime is 2473798363. The reversal of 2473798320 is 238973742.

2473798320 is a `hidden beast` number, since 247 + 379 + 8 + 32 + 0 = 666.

It is a super-2 number, since 2×24737983202 = 12239356256069644800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 46675414 + ... + 46675466.

Almost surely, 22473798320 is an apocalyptic number.

2473798320 is a gapful number since it is divisible by the number (20) 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 2473798320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5120250408).

2473798320 is an abundant number, since it is smaller than the sum of its proper divisors (7766702496).

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

2473798320 is an frugal number, since it uses more digits than its factorization.

2473798320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The square root of 2473798320 is about 49737.2930505873. The cubic root of 2473798320 is about 1352.4506597280.

The spelling of 2473798320 in words is "two billion, four hundred seventy-three million, seven hundred ninety-eight thousand, three hundred twenty".