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4862380320 = 253357236991
BaseRepresentation
bin1001000011101001…
…00000100100100000
3110112212102111212000
410201310200210200
534424232132240
62122253404000
7231331356630
oct44164404440
913485374760
104862380320
112075761336
12b38499600
135c64a5b25
14341aba6c0
151d6d20430
hex121d20920

4862380320 has 384 divisors, whose sum is σ = 20298055680. Its totient is φ = 1062927360.

The previous prime is 4862380309. The next prime is 4862380331. The reversal of 4862380320 is 230832684.

4862380320 is a `hidden beast` number, since 4 + 8 + 623 + 8 + 0 + 3 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (4862380309) and next prime (4862380331).

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 692025 + ... + 699015.

It is an arithmetic number, because the mean of its divisors is an integer number (52859520).

Almost surely, 24862380320 is an apocalyptic number.

4862380320 is a gapful number since it is divisible by the number (40) 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 4862380320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10149027840).

4862380320 is an abundant number, since it is smaller than the sum of its proper divisors (15435675360).

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

4862380320 is a wasteful number, since it uses less digits than its factorization.

4862380320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7045 (or 7031 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 4862380320 is about 69730.7702524502. The cubic root of 4862380320 is about 1694.1413459716.

The spelling of 4862380320 in words is "four billion, eight hundred sixty-two million, three hundred eighty thousand, three hundred twenty".