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4903282440 = 23325767113257
BaseRepresentation
bin1001001000100001…
…00010011100001000
3110122201101120000100
410210100202130020
540020220014230
62130314205400
7232336133040
oct44420423410
913581346010
104903282440
112096858741
12b4a123860
13601ac7174
143472c6720
151da6ee660
hex124422708

4903282440 has 384 divisors, whose sum is σ = 18720149760. Its totient is φ = 1089994752.

The previous prime is 4903282361. The next prime is 4903282441. The reversal of 4903282440 is 442823094.

4903282440 is a `hidden beast` number, since 4 + 90 + 328 + 244 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 4903282395 and 4903282404.

It is not an unprimeable number, because it can be changed into a prime (4903282441) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 19078792 + ... + 19079048.

It is an arithmetic number, because the mean of its divisors is an integer number (48750390).

Almost surely, 24903282440 is an apocalyptic number.

4903282440 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 4903282440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9360074880).

4903282440 is an abundant number, since it is smaller than the sum of its proper divisors (13816867320).

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

4903282440 is a wasteful number, since it uses less digits than its factorization.

4903282440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 461 (or 454 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 4903282440 is about 70023.4420747795. The cubic root of 4903282440 is about 1698.8784343798.

The spelling of 4903282440 in words is "four billion, nine hundred three million, two hundred eighty-two thousand, four hundred forty".