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5084003232 = 253572111213
BaseRepresentation
bin1001011110000011…
…11011101110100000
3111010022110010100000
410233001323232200
540403001100412
62200251500000
7236662212600
oct45701735640
914108403300
105084003232
112179872970
12b9a757600
13630391149
143632cac00
151eb4eb4dc
hex12f07bba0

5084003232 has 432 divisors, whose sum is σ = 19042182432. Its totient is φ = 1319431680.

The previous prime is 5084003149. The next prime is 5084003303. The reversal of 5084003232 is 2323004805.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 5084003196 and 5084003205.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4190658 + ... + 4191870.

It is an arithmetic number, because the mean of its divisors is an integer number (44079126).

Almost surely, 25084003232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5084003232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9521091216).

5084003232 is an abundant number, since it is smaller than the sum of its proper divisors (13958179200).

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

5084003232 is a wasteful number, since it uses less digits than its factorization.

5084003232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1263 (or 1236 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 5084003232 is about 71302.1965440056. The cubic root of 5084003232 is about 1719.4990464666.

The spelling of 5084003232 in words is "five billion, eighty-four million, three thousand, two hundred thirty-two".