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990754544 = 241319318087
BaseRepresentation
bin111011000011011…
…011011011110000
32120001021112201202
4323003123123300
54012113121134
6242151150332
733360163133
oct7303333360
92501245652
10990754544
1146928960a
122379753a8
1312a350bc0
149582221a
155bea6d7e
hex3b0db6f0

990754544 has 80 divisors (see below), whose sum is σ = 2246522880. Its totient is φ = 419178240.

The previous prime is 990754517. The next prime is 990754549. The reversal of 990754544 is 445457099.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (990754549) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 118469 + ... + 126555.

It is an arithmetic number, because the mean of its divisors is an integer number (28081536).

Almost surely, 2990754544 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 990754544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1123261440).

990754544 is an abundant number, since it is smaller than the sum of its proper divisors (1255768336).

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

990754544 is a wasteful number, since it uses less digits than its factorization.

990754544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8158 (or 8152 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 47.

The square root of 990754544 is about 31476.2536525553. The cubic root of 990754544 is about 996.9086346411.

The spelling of 990754544 in words is "nine hundred ninety million, seven hundred fifty-four thousand, five hundred forty-four".

Divisors: 1 2 4 8 13 16 19 26 31 38 52 62 76 104 124 152 208 247 248 304 403 494 496 589 806 988 1178 1612 1976 2356 3224 3952 4712 6448 7657 8087 9424 15314 16174 30628 32348 61256 64696 105131 122512 129392 153653 210262 250697 307306 420524 501394 614612 841048 1002788 1229224 1682096 1997489 2005576 2458448 3259061 3994978 4011152 4763243 6518122 7989956 9526486 13036244 15979912 19052972 26072488 31959824 38105944 52144976 61922159 76211888 123844318 247688636 495377272 990754544