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4923394560 = 293257489
BaseRepresentation
bin1001001010111010…
…10000101000000000
3110201010020100122200
410211131100220000
540040342111220
62132313233200
7233002110000
oct44535205000
913633210580
104923394560
1120a7145227
12b54a02800
13606019626
14349c40000
151dc373890
hex125750a00

4923394560 has 600 divisors, whose sum is σ = 20115269460. Its totient is φ = 1112702976.

The previous prime is 4923394507. The next prime is 4923394577. The reversal of 4923394560 is 654933294.

It can be written as a sum of positive squares in 2 ways, for example, as 4652331264 + 271063296 = 68208^2 + 16464^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 55318996 + ... + 55319084.

Almost surely, 24923394560 is an apocalyptic number.

4923394560 is a gapful number since it is divisible by the number (40) 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 4923394560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10057634730).

4923394560 is an abundant number, since it is smaller than the sum of its proper divisors (15191874900).

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

4923394560 is an frugal number, since it uses more digits than its factorization.

4923394560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 45.

The square root of 4923394560 is about 70166.9050193893. The cubic root of 4923394560 is about 1701.1980666581.

The spelling of 4923394560 in words is "four billion, nine hundred twenty-three million, three hundred ninety-four thousand, five hundred sixty".