Search a number
-
+
293326848 = 2123273109
BaseRepresentation
bin10001011110111…
…101000000000000
3202102221112210100
4101132331000000
51100042424343
645035002400
710161144213
oct2136750000
9672845710
10293326848
11140636891
1282299400
1348a025a9
142ad5777a
151ab419d3
hex117bd000

293326848 has 156 divisors (see below), whose sum is σ = 866771620. Its totient is φ = 95551488.

The previous prime is 293326811. The next prime is 293326849. The reversal of 293326848 is 848623392.

It can be written as a sum of positive squares in 2 ways, for example, as 185831424 + 107495424 = 13632^2 + 10368^2 .

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (293326849) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2691018 + ... + 2691126.

Almost surely, 2293326848 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 293326848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (433385810).

293326848 is an abundant number, since it is smaller than the sum of its proper divisors (573444772).

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

293326848 is a wasteful number, since it uses less digits than its factorization.

293326848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212 (or 187 counting only the distinct ones).

The product of its digits is 497664, while the sum is 45.

The square root of 293326848 is about 17126.7874395638. The cubic root of 293326848 is about 664.4320988730.

The spelling of 293326848 in words is "two hundred ninety-three million, three hundred twenty-six thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 73 96 109 128 144 146 192 218 219 256 288 292 327 384 436 438 512 576 584 654 657 768 872 876 981 1024 1152 1168 1308 1314 1536 1744 1752 1962 2048 2304 2336 2616 2628 3072 3488 3504 3924 4096 4608 4672 5232 5256 6144 6976 7008 7848 7957 9216 9344 10464 10512 12288 13952 14016 15696 15914 18432 18688 20928 21024 23871 27904 28032 31392 31828 36864 37376 41856 42048 47742 55808 56064 62784 63656 71613 74752 83712 84096 95484 111616 112128 125568 127312 143226 149504 167424 168192 190968 223232 224256 251136 254624 286452 299008 334848 336384 381936 446464 448512 502272 509248 572904 669696 672768 763872 897024 1004544 1018496 1145808 1339392 1345536 1527744 2009088 2036992 2291616 2691072 3055488 4018176 4073984 4583232 6110976 8147968 9166464 12221952 16295936 18332928 24443904 32591872 36665856 48887808 73331712 97775616 146663424 293326848