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4797923328 = 21533111729
BaseRepresentation
bin1000111011111101…
…01000000000000000
3110101101010202111000
410131332220000000
534311232021303
62112032052000
7226616450442
oct43576500000
913341122430
104797923328
1120423368a0
12b1a994000
135b60282b3
143372dc492
151d133bda3
hex11dfa8000

4797923328 has 512 divisors, whose sum is σ = 16986672000. Its totient is φ = 1321205760.

The previous prime is 4797923323. The next prime is 4797923369. The reversal of 4797923328 is 8233297974.

It is a tau number, because it is divible by the number of its divisors (512).

It is a super-2 number, since 2×47979233282 = 46040136522733191168, which contains 22 as substring.

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

Its product of digits (4572288) is a multiple of the sum of its prime factors (96).

It is not an unprimeable number, because it can be changed into a prime (4797923323) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 165445618 + ... + 165445646.

Almost surely, 24797923328 is an apocalyptic number.

4797923328 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 4797923328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8493336000).

4797923328 is an abundant number, since it is smaller than the sum of its proper divisors (12188748672).

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

4797923328 is a wasteful number, since it uses less digits than its factorization.

4797923328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 62 counting only the distinct ones).

The product of its digits is 4572288, while the sum is 54.

The square root of 4797923328 is about 69267.0435921730. The cubic root of 4797923328 is about 1686.6220270403.

The spelling of 4797923328 in words is "four billion, seven hundred ninety-seven million, nine hundred twenty-three thousand, three hundred twenty-eight".