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2394833056 = 257211433229
BaseRepresentation
bin1000111010111110…
…0100000010100000
320011220022010100121
42032233210002200
514401034124211
61033345330024
7113226513400
oct21657440240
96156263317
102394833056
111019903580
1256a036914
132c21c9ba5
1418a0b6800
15e03a5271
hex8ebe40a0

2394833056 has 144 divisors (see below), whose sum is σ = 6124235040. Its totient is φ = 911070720.

The previous prime is 2394833011. The next prime is 2394833057. The reversal of 2394833056 is 6503384932.

It is a super-2 number, since 2×23948330562 = 11470450732220598272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (43).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2394833057) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 740050 + ... + 743278.

It is an arithmetic number, because the mean of its divisors is an integer number (42529410).

Almost surely, 22394833056 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 2394833056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3062117520).

2394833056 is an abundant number, since it is smaller than the sum of its proper divisors (3729401984).

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

2394833056 is a wasteful number, since it uses less digits than its factorization.

2394833056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3307 (or 3292 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 43.

The square root of 2394833056 is about 48937.0315405420. The cubic root of 2394833056 is about 1337.9043980064.

The spelling of 2394833056 in words is "two billion, three hundred ninety-four million, eight hundred thirty-three thousand, fifty-six".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 43 44 49 56 77 86 88 98 112 154 172 176 196 224 301 308 344 352 392 473 539 602 616 688 784 946 1078 1204 1232 1376 1568 1892 2107 2156 2408 2464 3229 3311 3784 4214 4312 4816 6458 6622 7568 8428 8624 9632 12916 13244 15136 16856 17248 22603 23177 25832 26488 33712 35519 45206 46354 51664 52976 67424 71038 90412 92708 103328 105952 138847 142076 158221 180824 185416 248633 277694 284152 316442 361648 370832 497266 555388 568304 632884 723296 741664 971929 994532 1110776 1136608 1265768 1527317 1740431 1943858 1989064 2221552 2531536 3054634 3480862 3887716 3978128 4443104 5063072 6109268 6803503 6961724 7775432 7956256 10691219 12218536 13607006 13923448 15550864 21382438 24437072 27214012 27846896 31101728 42764876 48874144 54428024 55693792 74838533 85529752 108856048 149677066 171059504 217712096 299354132 342119008 598708264 1197416528 2394833056