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4830480288 = 253216772501
BaseRepresentation
bin1000111111110101…
…10100011110100000
3110110122101211020100
410133322310132200
534343100332123
62115153542400
7230463255624
oct43772643640
913418354210
104830480288
112059753377
12b29874a00
135bc9b707a
1433b775184
151d411d643
hex11feb47a0

4830480288 has 36 divisors (see below), whose sum is σ = 13736679138. Its totient is φ = 1610160000.

The previous prime is 4830480287. The next prime is 4830480331. The reversal of 4830480288 is 8820840384.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 3085580304 + 1744899984 = 55548^2 + 41772^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (4830480287) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 8385963 + ... + 8386538.

Almost surely, 24830480288 is an apocalyptic number.

4830480288 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

4830480288 is an abundant number, since it is smaller than the sum of its proper divisors (8906198850).

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

4830480288 is a wasteful number, since it uses less digits than its factorization.

4830480288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16772517 (or 16772506 counting only the distinct ones).

The product of its (nonzero) digits is 393216, while the sum is 45.

The square root of 4830480288 is about 69501.6567284550. The cubic root of 4830480288 is about 1690.4283647392.

The spelling of 4830480288 in words is "four billion, eight hundred thirty million, four hundred eighty thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 16772501 33545002 50317503 67090004 100635006 134180008 150952509 201270012 268360016 301905018 402540024 536720032 603810036 805080048 1207620072 1610160096 2415240144 4830480288