Search a number
-
+
2058844896 = 253235919913
BaseRepresentation
bin111101010110111…
…0111101011100000
312022111002011020200
41322231313223200
513204031014041
6540144105200
7102006615153
oct17255675340
95274064220
102058844896
11967189709
12495605200
1326a70b624
14157615c9a
15c0b381b6
hex7ab77ae0

2058844896 has 72 divisors (see below), whose sum is σ = 5871443760. Its totient is φ = 684335616.

The previous prime is 2058844873. The next prime is 2058844897. The reversal of 2058844896 is 6984488502.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2058844897) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 93436 + ... + 113348.

It is an arithmetic number, because the mean of its divisors is an integer number (81547830).

Almost surely, 22058844896 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 2058844896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2935721880).

2058844896 is an abundant number, since it is smaller than the sum of its proper divisors (3812598864).

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

2058844896 is a wasteful number, since it uses less digits than its factorization.

2058844896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20288 (or 20277 counting only the distinct ones).

The product of its (nonzero) digits is 4423680, while the sum is 54.

The square root of 2058844896 is about 45374.4960963755. The cubic root of 2058844896 is about 1272.1584589586.

The spelling of 2058844896 in words is "two billion, fifty-eight million, eight hundred forty-four thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 359 718 1077 1436 2154 2872 3231 4308 5744 6462 8616 11488 12924 17232 19913 25848 34464 39826 51696 59739 79652 103392 119478 159304 179217 238956 318608 358434 477912 637216 716868 955824 1433736 1911648 2867472 5734944 7148767 14297534 21446301 28595068 42892602 57190136 64338903 85785204 114380272 128677806 171570408 228760544 257355612 343140816 514711224 686281632 1029422448 2058844896