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4822013952 = 211327219281
BaseRepresentation
bin1000111110110101…
…00001100000000000
3110110001110200121100
410133122201200000
534333413421302
62114252254400
7230331304500
oct43732414000
913401420540
104822013952
1120549a04a8
12b26a71400
135bb0115c2
1433a5ada00
151d34e9d1c
hex11f6a1800

4822013952 has 432 divisors, whose sum is σ = 17113987800. Its totient is φ = 1300561920.

The previous prime is 4822013921. The next prime is 4822013953. The reversal of 4822013952 is 2593102284.

It is a happy number.

4822013952 is a `hidden beast` number, since 48 + 220 + 1 + 395 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4822013953) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 17160052 + ... + 17160332.

Almost surely, 24822013952 is an apocalyptic number.

4822013952 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 4822013952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8556993900).

4822013952 is an abundant number, since it is smaller than the sum of its proper divisors (12291973848).

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

4822013952 is a wasteful number, since it uses less digits than its factorization.

4822013952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 342 (or 312 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 4822013952 is about 69440.7225768857. The cubic root of 4822013952 is about 1689.4401880526.

The spelling of 4822013952 in words is "four billion, eight hundred twenty-two million, thirteen thousand, nine hundred fifty-two".