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4937644080 = 2432537732539
BaseRepresentation
bin1001001100100111…
…00111100000110000
3110202010001022022200
410212103213200300
540103014102310
62133542503200
7233234165535
oct44623474060
913663038280
104937644080
112104198096
12b59734b00
13608c684b5
1434baacd8c
151dd73a9c0
hex1264e7830

4937644080 has 240 divisors, whose sum is σ = 17270516640. Its totient is φ = 1263071232.

The previous prime is 4937644069. The next prime is 4937644091. The reversal of 4937644080 is 804467394.

It is an interprime number because it is at equal distance from previous prime (4937644069) and next prime (4937644091).

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1943451 + ... + 1945989.

It is an arithmetic number, because the mean of its divisors is an integer number (71960486).

Almost surely, 24937644080 is an apocalyptic number.

4937644080 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 4937644080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8635258320).

4937644080 is an abundant number, since it is smaller than the sum of its proper divisors (12332872560).

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

4937644080 is a wasteful number, since it uses less digits than its factorization.

4937644080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2668 (or 2659 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The square root of 4937644080 is about 70268.3718325677. The cubic root of 4937644080 is about 1702.8377149660.

The spelling of 4937644080 in words is "four billion, nine hundred thirty-seven million, six hundred forty-four thousand, eighty".