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4820764032 = 27337892239
BaseRepresentation
bin1000111110101011…
…10000010110000000
3110102222010012001000
410133111300112000
534333103422112
62114205412000
7230314550430
oct43725602600
913388105030
104820764032
112054217407
12b2656a000
135ba9946c6
1433a3662c0
151d334e7dc
hex11f570580

4820764032 has 256 divisors, whose sum is σ = 16450560000. Its totient is φ = 1361276928.

The previous prime is 4820764031. The next prime is 4820764061. The reversal of 4820764032 is 2304670284.

4820764032 is a `hidden beast` number, since 4 + 8 + 2 + 0 + 7 + 640 + 3 + 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 (4820764031) 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, 2151969 + ... + 2154207.

It is an arithmetic number, because the mean of its divisors is an integer number (64260000).

Almost surely, 24820764032 is an apocalyptic number.

4820764032 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 4820764032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8225280000).

4820764032 is an abundant number, since it is smaller than the sum of its proper divisors (11629795968).

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

4820764032 is a wasteful number, since it uses less digits than its factorization.

4820764032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2358 (or 2340 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 4820764032 is about 69431.7220872419. The cubic root of 4820764032 is about 1689.2942015013.

The spelling of 4820764032 in words is "four billion, eight hundred twenty million, seven hundred sixty-four thousand, thirty-two".