Search a number
-
+
472396848 = 243721119312
BaseRepresentation
bin11100001010000…
…011010000110000
31012220220020122120
4130022003100300
51431413144343
6114513034240
714464210200
oct3412032060
91186806576
10472396848
11222723820
12112255980
1376b3c081
1446a4c400
152b714683
hex1c283430

472396848 has 360 divisors, whose sum is σ = 1684445760. Its totient is φ = 112492800.

The previous prime is 472396843. The next prime is 472396849. The reversal of 472396848 is 848693274.

It is a self number, because there is not a number n which added to its sum of digits gives 472396848.

It is not an unprimeable number, because it can be changed into a prime (472396843) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 15238593 + ... + 15238623.

It is an arithmetic number, because the mean of its divisors is an integer number (4679016).

Almost surely, 2472396848 is an apocalyptic number.

472396848 is a gapful number since it is divisible by the number (48) 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 472396848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (842222880).

472396848 is an abundant number, since it is smaller than the sum of its proper divisors (1212048912).

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

472396848 is a wasteful number, since it uses less digits than its factorization.

472396848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 73 counting only the distinct ones).

The product of its digits is 2322432, while the sum is 51.

The square root of 472396848 is about 21734.6922683529. The cubic root of 472396848 is about 778.8174321948.

The spelling of 472396848 in words is "four hundred seventy-two million, three hundred ninety-six thousand, eight hundred forty-eight".