Search a number
-
+
4830655104 = 273311314099
BaseRepresentation
bin1000111111110110…
…11111001010000000
3110110122201201001000
410133323133022000
534343121430404
62115201412000
7230464614402
oct43773371200
913418651030
104830655104
112059862750
12b2993a000
135bca48802
1433b7bcb72
151d4155339
hex11fedf280

4830655104 has 256 divisors, whose sum is σ = 16058880000. Its totient is φ = 1416268800.

The previous prime is 4830655097. The next prime is 4830655153. The reversal of 4830655104 is 4015560384.

It is a happy number.

4830655104 is a `hidden beast` number, since 4 + 83 + 0 + 65 + 510 + 4 = 666.

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 31 ways as a sum of consecutive naturals, for example, 1176447 + ... + 1180545.

It is an arithmetic number, because the mean of its divisors is an integer number (62730000).

Almost surely, 24830655104 is an apocalyptic number.

4830655104 is a gapful number since it is divisible by the number (44) 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 4830655104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8029440000).

4830655104 is an abundant number, since it is smaller than the sum of its proper divisors (11228224896).

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

4830655104 is a wasteful number, since it uses less digits than its factorization.

4830655104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4164 (or 4146 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 4830655104 is about 69502.9143561621. The cubic root of 4830655104 is about 1690.4487568012.

The spelling of 4830655104 in words is "four billion, eight hundred thirty million, six hundred fifty-five thousand, one hundred four".