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4303393248 = 25373111092
BaseRepresentation
bin1000000001000000…
…01001000111100000
3102002220121000202010
410000200021013200
532303132040443
61551004352520
7211433145000
oct40040110740
912086530663
104303393248
111909176050
12a01245740
13537739b4b
142cb76c000
151a2c04733
hex1008091e0

4303393248 has 288 divisors, whose sum is σ = 14504313600. Its totient is φ = 1107509760.

The previous prime is 4303393231. The next prime is 4303393249. The reversal of 4303393248 is 8423933034.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4303393249) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 39480618 + ... + 39480726.

It is an arithmetic number, because the mean of its divisors is an integer number (50362200).

Almost surely, 24303393248 is an apocalyptic number.

4303393248 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 4303393248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7252156800).

4303393248 is an abundant number, since it is smaller than the sum of its proper divisors (10200920352).

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

4303393248 is a wasteful number, since it uses less digits than its factorization.

4303393248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 263 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 39.

The square root of 4303393248 is about 65600.2534141447. The cubic root of 4303393248 is about 1626.5609613595.

The spelling of 4303393248 in words is "four billion, three hundred three million, three hundred ninety-three thousand, two hundred forty-eight".