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989942304 = 253131914153
BaseRepresentation
bin111011000000010…
…101001000100000
32112222202021112210
4323000111020200
54011411123204
6242121522120
733350241111
oct7300251040
92488667483
10989942304
1146888433a
12237643340
1312a1282a0
1495690208
155bd96389
hex3b015220

989942304 has 96 divisors (see below), whose sum is σ = 2813819904. Its totient is φ = 302929920.

The previous prime is 989942299. The next prime is 989942311. The reversal of 989942304 is 403249989.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 236292 + ... + 240444.

It is an arithmetic number, because the mean of its divisors is an integer number (29310624).

Almost surely, 2989942304 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 989942304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1406909952).

989942304 is an abundant number, since it is smaller than the sum of its proper divisors (1823877600).

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

989942304 is a wasteful number, since it uses less digits than its factorization.

989942304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4370 (or 4362 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 48.

The square root of 989942304 is about 31463.3485821201. The cubic root of 989942304 is about 996.6361317451.

The spelling of 989942304 in words is "nine hundred eighty-nine million, nine hundred forty-two thousand, three hundred four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 191 208 312 382 416 573 624 764 1146 1248 1528 2292 2483 3056 4153 4584 4966 6112 7449 8306 9168 9932 12459 14898 16612 18336 19864 24918 29796 33224 39728 49836 53989 59592 66448 79456 99672 107978 119184 132896 161967 199344 215956 238368 323934 398688 431912 647868 793223 863824 1295736 1586446 1727648 2379669 2591472 3172892 4759338 5182944 6345784 9518676 10311899 12691568 19037352 20623798 25383136 30935697 38074704 41247596 61871394 76149408 82495192 123742788 164990384 247485576 329980768 494971152 989942304