Search a number
-
+
486973296 = 24341723312
BaseRepresentation
bin11101000001101…
…001111101110000
31020221022210210000
4131001221331300
51444131121141
6120153310000
715032130135
oct3501517560
91227283700
10486973296
1122a97a277
12117105300
1379b739a4
144896458c
152cb435b6
hex1d069f70

486973296 has 300 divisors, whose sum is σ = 1609088976. Its totient is φ = 141419520.

The previous prime is 486973283. The next prime is 486973297. The reversal of 486973296 is 692379684.

It is a happy number.

486973296 is a `hidden beast` number, since 486 + 9 + 73 + 2 + 96 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (486973297) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 15708801 + ... + 15708831.

Almost surely, 2486973296 is an apocalyptic number.

486973296 is a gapful number since it is divisible by the number (46) 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 486973296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (804544488).

486973296 is an abundant number, since it is smaller than the sum of its proper divisors (1122115680).

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

486973296 is a wasteful number, since it uses less digits than its factorization.

486973296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 76 counting only the distinct ones).

The product of its digits is 3919104, while the sum is 54.

The square root of 486973296 is about 22067.4714455463. The cubic root of 486973296 is about 786.7469154305.

The spelling of 486973296 in words is "four hundred eighty-six million, nine hundred seventy-three thousand, two hundred ninety-six".