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991055744 = 2772943887
BaseRepresentation
bin111011000100100…
…100111110000000
32120001211211220022
4323010210332000
54012202240434
6242201433012
733362556230
oct7304447600
92501754808
10991055744
11469474938
12237a9b768
1312a428023
149589dcc0
155c01622e
hex3b124f80

991055744 has 128 divisors (see below), whose sum is σ = 2391206400. Its totient is φ = 400103424.

The previous prime is 991055707. The next prime is 991055753. The reversal of 991055744 is 447550199.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 991055695 and 991055704.

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 15 ways as a sum of consecutive naturals, for example, 1116869 + ... + 1117755.

It is an arithmetic number, because the mean of its divisors is an integer number (18681300).

Almost surely, 2991055744 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 991055744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1195603200).

991055744 is an abundant number, since it is smaller than the sum of its proper divisors (1400150656).

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

991055744 is a wasteful number, since it uses less digits than its factorization.

991055744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 980 (or 968 counting only the distinct ones).

The product of its (nonzero) digits is 226800, while the sum is 44.

The square root of 991055744 is about 31481.0378482032. The cubic root of 991055744 is about 997.0096480419.

The spelling of 991055744 in words is "nine hundred ninety-one million, fifty-five thousand, seven hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 29 32 43 56 58 64 86 112 116 128 172 203 224 232 301 344 406 448 464 602 688 812 887 896 928 1204 1247 1376 1624 1774 1856 2408 2494 2752 3248 3548 3712 4816 4988 5504 6209 6496 7096 8729 9632 9976 12418 12992 14192 17458 19264 19952 24836 25723 25984 28384 34916 38141 38528 39904 49672 51446 56768 69832 76282 79808 99344 102892 113536 139664 152564 159616 180061 198688 205784 266987 279328 305128 360122 397376 411568 533974 558656 610256 720244 794752 823136 1067948 1106089 1117312 1220512 1440488 1646272 2135896 2212178 2441024 2880976 3292544 4271792 4424356 4882048 5761952 7742623 8543584 8848712 11523904 15485246 17087168 17697424 23047808 30970492 34174336 35394848 61940984 70789696 123881968 141579392 247763936 495527872 991055744