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4903825920 = 29357283157
BaseRepresentation
bin1001001000100101…
…00111001000000000
3110122202102011112020
410210102213020000
540020334412140
62130334001440
7232343555400
oct44422471000
913582364466
104903825920
112097099aa4
12b4a346280
13601c57656
143473c8800
151da7aa6d0
hex1244a7200

4903825920 has 480 divisors, whose sum is σ = 18573686208. Its totient is φ = 1100316672.

The previous prime is 4903825841. The next prime is 4903825921. The reversal of 4903825920 is 295283094.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (4903825921) 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, 31234482 + ... + 31234638.

Almost surely, 24903825920 is an apocalyptic number.

4903825920 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 4903825920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9286843104).

4903825920 is an abundant number, since it is smaller than the sum of its proper divisors (13669860288).

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

4903825920 is a wasteful number, since it uses less digits than its factorization.

4903825920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 280 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 42.

The square root of 4903825920 is about 70027.3226676559. The cubic root of 4903825920 is about 1698.9411999762.

The spelling of 4903825920 in words is "four billion, nine hundred three million, eight hundred twenty-five thousand, nine hundred twenty".