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890943984 = 243277971109
BaseRepresentation
bin110101000110101…
…011100111110000
32022002110122101100
4311012223213300
53311040201414
6224224004400
731035620220
oct6506534760
92262418340
10890943984
11417a07447
1220a460700
131127756b8
1486480080
155333d609
hex351ab9f0

890943984 has 120 divisors (see below), whose sum is σ = 2855754720. Its totient is φ = 254006784.

The previous prime is 890943971. The next prime is 890944013. The reversal of 890943984 is 489349098.

It is a self number, because there is not a number n which added to its sum of digits gives 890943984.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 802822 + ... + 803930.

It is an arithmetic number, because the mean of its divisors is an integer number (23797956).

Almost surely, 2890943984 is an apocalyptic number.

890943984 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 890943984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1427877360).

890943984 is an abundant number, since it is smaller than the sum of its proper divisors (1964810736).

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

890943984 is a wasteful number, since it uses less digits than its factorization.

890943984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1927 (or 1918 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 54.

The square root of 890943984 is about 29848.6847951463. The cubic root of 890943984 is about 962.2401332290.

The spelling of 890943984 in words is "eight hundred ninety million, nine hundred forty-three thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 168 252 336 504 797 1008 1109 1594 2218 2391 3188 3327 4436 4782 5579 6376 6654 7173 7763 8872 9564 9981 11158 12752 13308 14346 15526 16737 17744 19128 19962 22316 23289 26616 28692 31052 33474 38256 39924 44632 46578 50211 53232 57384 62104 66948 69867 79848 89264 93156 100422 114768 124208 133896 139734 159696 186312 200844 267792 279468 372624 401688 558936 803376 883873 1117872 1767746 2651619 3535492 5303238 6187111 7070984 7954857 10606476 12374222 14141968 15909714 18561333 21212952 24748444 31819428 37122666 42425904 49496888 55683999 63638856 74245332 98993776 111367998 127277712 148490664 222735996 296981328 445471992 890943984