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4679293248 = 2632717193593
BaseRepresentation
bin1000101101110100…
…00101100101000000
3110002002220201121100
410112322011211000
534040344340443
62052153254400
7223646223240
oct42672054500
913062821540
104679293248
111a91380303
12aa7104400
13597590a96
1432565bb20
151c5c073d3
hex116e85940

4679293248 has 336 divisors, whose sum is σ = 17089038720. Its totient is φ = 1191739392.

The previous prime is 4679293219. The next prime is 4679293253. The reversal of 4679293248 is 8423929764.

4679293248 is a `hidden beast` number, since 46 + 79 + 293 + 248 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 4679293194 and 4679293203.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1300540 + ... + 1304132.

Almost surely, 24679293248 is an apocalyptic number.

4679293248 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 4679293248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8544519360).

4679293248 is an abundant number, since it is smaller than the sum of its proper divisors (12409745472).

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

4679293248 is a wasteful number, since it uses less digits than its factorization.

4679293248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3654 (or 3641 counting only the distinct ones).

The product of its digits is 5225472, while the sum is 54.

The square root of 4679293248 is about 68405.3597900048. The cubic root of 4679293248 is about 1672.6051166279.

The spelling of 4679293248 in words is "four billion, six hundred seventy-nine million, two hundred ninety-three thousand, two hundred forty-eight".