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4679482752 = 27347261151
BaseRepresentation
bin1000101101110101…
…10011110110000000
3110002010021100120000
410112322303312000
534040421422002
62052201320000
7223650642600
oct42672636600
913063240500
104679482752
111a9149a71a
12aa7196000
13597629109
143256aac00
151c5c4361c
hex116eb3d80

4679482752 has 480 divisors, whose sum is σ = 16574318640. Its totient is φ = 1306368000.

The previous prime is 4679482723. The next prime is 4679482771. The reversal of 4679482752 is 2572849764.

4679482752 is a `hidden beast` number, since 46 + 79 + 482 + 7 + 52 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

Its product of digits (6773760) is a multiple of the sum of its prime divisors (224).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 30989877 + ... + 30990027.

Almost surely, 24679482752 is an apocalyptic number.

4679482752 is a gapful number since it is divisible by the number (42) 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 4679482752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8287159320).

4679482752 is an abundant number, since it is smaller than the sum of its proper divisors (11894835888).

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

4679482752 is a wasteful number, since it uses less digits than its factorization.

4679482752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252 (or 224 counting only the distinct ones).

The product of its digits is 6773760, while the sum is 54.

The square root of 4679482752 is about 68406.7449305988. The cubic root of 4679482752 is about 1672.6276956132.

The spelling of 4679482752 in words is "four billion, six hundred seventy-nine million, four hundred eighty-two thousand, seven hundred fifty-two".