[go: up one dir, main page]

Search a number
-
+
5076639360 = 273951331
BaseRepresentation
bin1001011101001011…
…10101111010000000
3111002210121000000000
410232211311322000
540344104424420
62155430000000
7236542502562
oct45645657200
914083530000
105076639360
1121756a3321
12b981a6000
1362b9b3420
14362331332
151eaa44690
hex12e975e80

5076639360 has 640 divisors, whose sum is σ = 20236930560. Its totient is φ = 1209323520.

The previous prime is 5076639313. The next prime is 5076639361. The reversal of 5076639360 is 639366705.

5076639360 is a `hidden beast` number, since 5 + 0 + 7 + 6 + 639 + 3 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

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

It is not an unprimeable number, because it can be changed into a prime (5076639361) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 163762545 + ... + 163762575.

It is an arithmetic number, because the mean of its divisors is an integer number (31620204).

Almost surely, 25076639360 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5076639360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10118465280).

5076639360 is an abundant number, since it is smaller than the sum of its proper divisors (15160291200).

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

5076639360 is an frugal number, since it uses more digits than its factorization.

5076639360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 612360, while the sum is 45.

The square root of 5076639360 is about 71250.5393663795. The cubic root of 5076639360 is about 1718.6684484325.

The spelling of 5076639360 in words is "five billion, seventy-six million, six hundred thirty-nine thousand, three hundred sixty".