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989916336 = 24333137321
BaseRepresentation
bin111011000000001…
…110110010110000
32112222200221221000
4323000032302300
54011404310321
6242121202000
733350102313
oct7300166260
92488627830
10989916336
11468866882
12237630300
1312a119516
149568497a
155bd8d826
hex3b00ecb0

989916336 has 80 divisors (see below), whose sum is σ = 2850893920. Its totient is φ = 328872960.

The previous prime is 989916329. The next prime is 989916371. The reversal of 989916336 is 633619989.

It is a Harshad number since it is a multiple of its sum of digits (54).

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

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 15 ways as a sum of consecutive naturals, for example, 131556 + ... + 138876.

It is an arithmetic number, because the mean of its divisors is an integer number (35636174).

Almost surely, 2989916336 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 989916336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1425446960).

989916336 is an abundant number, since it is smaller than the sum of its proper divisors (1860977584).

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

989916336 is a wasteful number, since it uses less digits than its factorization.

989916336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7651 (or 7639 counting only the distinct ones).

The product of its digits is 1889568, while the sum is 54.

The square root of 989916336 is about 31462.9359087800. The cubic root of 989916336 is about 996.6274171384.

The spelling of 989916336 in words is "nine hundred eighty-nine million, nine hundred sixteen thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 313 432 626 939 1252 1878 2504 2817 3756 5008 5634 7321 7512 8451 11268 14642 15024 16902 21963 22536 29284 33804 43926 45072 58568 65889 67608 87852 117136 131778 135216 175704 197667 263556 351408 395334 527112 790668 1054224 1581336 2291473 3162672 4582946 6874419 9165892 13748838 18331784 20623257 27497676 36663568 41246514 54995352 61869771 82493028 109990704 123739542 164986056 247479084 329972112 494958168 989916336