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4849430040 = 2333573131953
BaseRepresentation
bin1001000010000110…
…00110111000011000
3110111222001120102000
410201003012320120
534412423230130
62121112041000
7231113322000
oct44103067030
913458046360
104849430040
112069416624
12b34093160
135c38c0440
143400a9000
151d5b13260
hex1210c6e18

4849430040 has 1024 divisors, whose sum is σ = 21772800000. Its totient is φ = 951035904.

The previous prime is 4849430039. The next prime is 4849430041. The reversal of 4849430040 is 400349484.

It is an interprime number because it is at equal distance from previous prime (4849430039) and next prime (4849430041).

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 = 4849429977 and 4849430004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4849430041) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 91498654 + ... + 91498706.

It is an arithmetic number, because the mean of its divisors is an integer number (21262500).

Almost surely, 24849430040 is an apocalyptic number.

4849430040 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 4849430040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10886400000).

4849430040 is an abundant number, since it is smaller than the sum of its proper divisors (16923369960).

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

4849430040 is a wasteful number, since it uses less digits than its factorization.

4849430040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 102 counting only the distinct ones).

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

The square root of 4849430040 is about 69637.8491913701. The cubic root of 4849430040 is about 1692.6359713799.

The spelling of 4849430040 in words is "four billion, eight hundred forty-nine million, four hundred thirty thousand, forty".