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2945230848 = 21133721087
BaseRepresentation
bin1010111110001100…
…1010100000000000
321121020222020012000
42233203022200000
522012434341343
61204130304000
7132662022600
oct25743124000
97536866160
102945230848
11128156258a
126a2428000
1337c249461
141dd22ac00
15123875ed3
hexaf8ca800

2945230848 has 288 divisors, whose sum is σ = 10158220800. Its totient is φ = 840720384.

The previous prime is 2945230843. The next prime is 2945230861. The reversal of 2945230848 is 8480325492.

2945230848 is a `hidden beast` number, since 294 + 52 + 308 + 4 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is not an unprimeable number, because it can be changed into a prime (2945230843) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2708961 + ... + 2710047.

It is an arithmetic number, because the mean of its divisors is an integer number (35271600).

Almost surely, 22945230848 is an apocalyptic number.

2945230848 is a gapful number since it is divisible by the number (28) 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 2945230848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5079110400).

2945230848 is an abundant number, since it is smaller than the sum of its proper divisors (7212989952).

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

2945230848 is a wasteful number, since it uses less digits than its factorization.

2945230848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1132 (or 1099 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The square root of 2945230848 is about 54269.9810945241. The cubic root of 2945230848 is about 1433.4188573210.

The spelling of 2945230848 in words is "two billion, nine hundred forty-five million, two hundred thirty thousand, eight hundred forty-eight".