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2949310848 = 2731137113167
BaseRepresentation
bin1010111111001010…
…1110100110000000
321121112122111220010
42233302232212000
522020010421343
61204353544520
7133041504621
oct25762564600
97545574803
102949310848
111283899990
126a3875140
13380047563
141dd9ada48
15123dced33
hexafcae980

2949310848 has 256 divisors, whose sum is σ = 8907978240. Its totient is φ = 856719360.

The previous prime is 2949310843. The next prime is 2949310849. The reversal of 2949310848 is 8480139492.

2949310848 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 2949310797 and 2949310806.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2949310843) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17660461 + ... + 17660627.

It is an arithmetic number, because the mean of its divisors is an integer number (34796790).

Almost surely, 22949310848 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 2949310848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4453989120).

2949310848 is an abundant number, since it is smaller than the sum of its proper divisors (5958667392).

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

2949310848 is a wasteful number, since it uses less digits than its factorization.

2949310848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 345 (or 333 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 48.

The square root of 2949310848 is about 54307.5579270510. The cubic root of 2949310848 is about 1434.0804523721.

The spelling of 2949310848 in words is "two billion, nine hundred forty-nine million, three hundred ten thousand, eight hundred forty-eight".