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641296992 = 25377113441
BaseRepresentation
bin100110001110010…
…110101001100000
31122200201021002110
4212032112221200
52303133000432
6143345115320
721614635350
oct4616265140
91580637073
10641296992
112a9aa4a16
1215a928b40
13a2b2789b
1461256b60
153b478dcc
hex26396a60

641296992 has 96 divisors (see below), whose sum is σ = 1951133184. Its totient is φ = 180633600.

The previous prime is 641296963. The next prime is 641297021. The reversal of 641296992 is 299692146.

It is an interprime number because it is at equal distance from previous prime (641296963) and next prime (641297021).

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

It is a super-2 number, since 2×6412969922 = 822523663896496128, which contains 22 as substring.

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

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, 40992 + ... + 54432.

It is an arithmetic number, because the mean of its divisors is an integer number (20324304).

Almost surely, 2641296992 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 641296992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (975566592).

641296992 is an abundant number, since it is smaller than the sum of its proper divisors (1309836192).

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

641296992 is a wasteful number, since it uses less digits than its factorization.

641296992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13532 (or 13524 counting only the distinct ones).

The product of its digits is 419904, while the sum is 48.

The square root of 641296992 is about 25323.8423624852. The cubic root of 641296992 is about 862.3556258240.

The spelling of 641296992 in words is "six hundred forty-one million, two hundred ninety-six thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 71 84 96 112 142 168 213 224 284 336 426 497 568 672 852 994 1136 1491 1704 1988 2272 2982 3408 3976 5964 6816 7952 11928 13441 15904 23856 26882 40323 47712 53764 80646 94087 107528 161292 188174 215056 282261 322584 376348 430112 564522 645168 752696 954311 1129044 1290336 1505392 1908622 2258088 2862933 3010784 3817244 4516176 5725866 6680177 7634488 9032352 11451732 13360354 15268976 20040531 22903464 26720708 30537952 40081062 45806928 53441416 80162124 91613856 106882832 160324248 213765664 320648496 641296992