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641230992 = 2434796263
BaseRepresentation
bin100110001110000…
…110100010010000
31122200120220120000
4212032012202100
52303123342432
6143343450000
721614242053
oct4616064220
91580526500
10641230992
112a9a5a376
1215a8b6900
13a2b0382c
146123aa9a
153b46457c
hex26386890

641230992 has 100 divisors (see below), whose sum is σ = 1879701120. Its totient is φ = 211004352.

The previous prime is 641230987. The next prime is 641231009. The reversal of 641230992 is 299032146.

641230992 is a `hidden beast` number, since 641 + 2 + 3 + 0 + 9 + 9 + 2 = 666.

It is a super-2 number, since 2×6412309922 = 822354370202608128, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 99253 + ... + 105515.

Almost surely, 2641230992 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 641230992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (939850560).

641230992 is an abundant number, since it is smaller than the sum of its proper divisors (1238470128).

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

641230992 is a wasteful number, since it uses less digits than its factorization.

641230992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6362 (or 6347 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 641230992 is about 25322.5392091709. The cubic root of 641230992 is about 862.3260412869.

The spelling of 641230992 in words is "six hundred forty-one million, two hundred thirty thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 79 81 108 144 158 162 216 237 316 324 432 474 632 648 711 948 1264 1296 1422 1896 2133 2844 3792 4266 5688 6263 6399 8532 11376 12526 12798 17064 18789 25052 25596 34128 37578 50104 51192 56367 75156 100208 102384 112734 150312 169101 225468 300624 338202 450936 494777 507303 676404 901872 989554 1014606 1352808 1484331 1979108 2029212 2705616 2968662 3958216 4058424 4452993 5937324 7916432 8116848 8905986 11874648 13358979 17811972 23749296 26717958 35623944 40076937 53435916 71247888 80153874 106871832 160307748 213743664 320615496 641230992