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4942764288 = 283371137251
BaseRepresentation
bin1001001101001110…
…01001100100000000
3110202110200102221000
410212213021210000
540110321424123
62134244332000
7233325542340
oct44647114400
913673612830
104942764288
112107074a70
12b5b3a4000
1360a03bbc7
1434c642d20
151dddecb43
hex1269c9900

4942764288 has 576 divisors, whose sum is σ = 18790410240. Its totient is φ = 1244160000.

The previous prime is 4942764283. The next prime is 4942764293. The reversal of 4942764288 is 8824672494.

4942764288 is a `hidden beast` number, since 4 + 94 + 276 + 4 + 288 = 666.

It is an interprime number because it is at equal distance from previous prime (4942764283) and next prime (4942764293).

It is a tau number, because it is divible by the number of its divisors (576).

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (4942764283) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 19692163 + ... + 19692413.

It is an arithmetic number, because the mean of its divisors is an integer number (32622240).

Almost surely, 24942764288 is an apocalyptic number.

4942764288 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 4942764288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9395205120).

4942764288 is an abundant number, since it is smaller than the sum of its proper divisors (13847645952).

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

4942764288 is a wasteful number, since it uses less digits than its factorization.

4942764288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 331 (or 311 counting only the distinct ones).

The product of its digits is 6193152, while the sum is 54.

The square root of 4942764288 is about 70304.7956259031. The cubic root of 4942764288 is about 1703.4261110467.

The spelling of 4942764288 in words is "four billion, nine hundred forty-two million, seven hundred sixty-four thousand, two hundred eighty-eight".