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4892860896 = 253721194559
BaseRepresentation
bin1001000111010001…
…10010000111100000
3110121222210002100020
410203220302013200
540010033022041
62125302553440
7232151426400
oct44350620740
913558702306
104892860896
11209098a8a0
12b46738880
135cc8b8781
14345b72800
151d9841866
hex123a321e0

4892860896 has 144 divisors (see below), whose sum is σ = 16299118080. Its totient is φ = 1270859520.

The previous prime is 4892860879. The next prime is 4892860927. The reversal of 4892860896 is 6980682984.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

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, 4465 + ... + 99023.

It is an arithmetic number, because the mean of its divisors is an integer number (113188320).

Almost surely, 24892860896 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 4892860896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8149559040).

4892860896 is an abundant number, since it is smaller than the sum of its proper divisors (11406257184).

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

4892860896 is a wasteful number, since it uses less digits than its factorization.

4892860896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94597 (or 94582 counting only the distinct ones).

The product of its (nonzero) digits is 11943936, while the sum is 60.

The square root of 4892860896 is about 69948.9878125481. The cubic root of 4892860896 is about 1697.6739694871.

It can be divided in two parts, 4892860 and 896, that added together give a triangular number (4893756 = T3128).

The spelling of 4892860896 in words is "four billion, eight hundred ninety-two million, eight hundred sixty thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 32 33 42 44 48 49 56 66 77 84 88 96 98 112 132 147 154 168 176 196 224 231 264 294 308 336 352 392 462 528 539 588 616 672 784 924 1056 1078 1176 1232 1568 1617 1848 2156 2352 2464 3234 3696 4312 4704 6468 7392 8624 12936 17248 25872 51744 94559 189118 283677 378236 567354 661913 756472 1040149 1134708 1323826 1512944 1985739 2080298 2269416 2647652 3025888 3120447 3971478 4160596 4538832 4633391 5295304 6240894 7281043 7942956 8321192 9077664 9266782 10590608 12481788 13900173 14562086 15885912 16642384 18533564 21181216 21843129 24963576 27800346 29124172 31771824 33284768 37067128 43686258 49927152 50967301 55600692 58248344 63543648 74134256 87372516 99854304 101934602 111201384 116496688 148268512 152901903 174745032 203869204 222402768 232993376 305803806 349490064 407738408 444805536 611607612 698980128 815476816 1223215224 1630953632 2446430448 4892860896