Search a number
-
+
4440947808 = 2531121743523
BaseRepresentation
bin1000010001011001…
…10111110001100000
3102110111102112010110
410020230313301200
533043340312213
62012400531320
7215023301463
oct41054676140
912414375113
104440947808
111979887900
12a3b320b40
1355a09c08b
14301b372da
151aed265c3
hex108b37c60

4440947808 has 288 divisors, whose sum is σ = 13909408128. Its totient is φ = 1234759680.

The previous prime is 4440947743. The next prime is 4440947813. The reversal of 4440947808 is 8087490444.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8491035 + ... + 8491557.

It is an arithmetic number, because the mean of its divisors is an integer number (48296556).

Almost surely, 24440947808 is an apocalyptic number.

4440947808 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 4440947808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6954704064).

4440947808 is an abundant number, since it is smaller than the sum of its proper divisors (9468460320).

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

4440947808 is a wasteful number, since it uses less digits than its factorization.

4440947808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 618 (or 599 counting only the distinct ones).

The product of its (nonzero) digits is 1032192, while the sum is 48.

The square root of 4440947808 is about 66640.4367332628. The cubic root of 4440947808 is about 1643.7100974126.

The spelling of 4440947808 in words is "four billion, four hundred forty million, nine hundred forty-seven thousand, eight hundred eight".