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2904125056 = 2774375377
BaseRepresentation
bin1010110100011001…
…0110111010000000
321111101121211122021
42231012112322000
521421424000211
61200101251224
7131652440620
oct25506267200
97441554567
102904125056
111260337158
12690703b14
133738864c1
141d79aa880
1511ee56771
hexad196e80

2904125056 has 64 divisors (see below), whose sum is σ = 6765929280. Its totient is φ = 1215664128.

The previous prime is 2904125051. The next prime is 2904125069. The reversal of 2904125056 is 6505214092.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (2904125051) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 840 + ... + 76216.

It is an arithmetic number, because the mean of its divisors is an integer number (105717645).

Almost surely, 22904125056 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 2904125056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3382964640).

2904125056 is an abundant number, since it is smaller than the sum of its proper divisors (3861804224).

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

2904125056 is an equidigital number, since it uses as much as digits as its factorization.

2904125056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75441 (or 75429 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 34.

The square root of 2904125056 is about 53889.9346446069. The cubic root of 2904125056 is about 1426.7189771291.

The spelling of 2904125056 in words is "two billion, nine hundred four million, one hundred twenty-five thousand, fifty-six".

Divisors: 1 2 4 7 8 14 16 28 32 43 56 64 86 112 128 172 224 301 344 448 602 688 896 1204 1376 2408 2752 4816 5504 9632 19264 38528 75377 150754 301508 527639 603016 1055278 1206032 2110556 2412064 3241211 4221112 4824128 6482422 8442224 9648256 12964844 16884448 22688477 25929688 33768896 45376954 51859376 67537792 90753908 103718752 181507816 207437504 363015632 414875008 726031264 1452062528 2904125056