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641094272 = 27713232393
BaseRepresentation
bin100110001101100…
…101001010000000
31122200022222000022
4212031211022000
52303110004042
6143340513012
721613132340
oct4615451200
91580288008
10641094272
112a9976685
1215a84b768
13a2a86530
1461202d20
153b438cd2
hex26365280

641094272 has 128 divisors (see below), whose sum is σ = 1640943360. Its totient is φ = 242491392.

The previous prime is 641094269. The next prime is 641094277. The reversal of 641094272 is 272490146.

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

It is a super-2 number, since 2×6410942722 = 822003731182419968, which contains 22 as substring.

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

It is a zygodrome in base 3.

It is not an unprimeable number, because it can be changed into a prime (641094277) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 266708 + ... + 269100.

It is an arithmetic number, because the mean of its divisors is an integer number (12819870).

Almost surely, 2641094272 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 641094272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (820471680).

641094272 is an abundant number, since it is smaller than the sum of its proper divisors (999849088).

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

641094272 is a wasteful number, since it uses less digits than its factorization.

641094272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2450 (or 2438 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 35.

The square root of 641094272 is about 25319.8394939620. The cubic root of 641094272 is about 862.2647500112.

The spelling of 641094272 in words is "six hundred forty-one million, ninety-four thousand, two hundred seventy-two".

Divisors: 1 2 4 7 8 13 14 16 23 26 28 32 46 52 56 64 91 92 104 112 128 161 182 184 208 224 299 322 364 368 416 448 598 644 728 736 832 896 1196 1288 1456 1472 1664 2093 2392 2393 2576 2912 2944 4186 4784 4786 5152 5824 8372 9568 9572 10304 11648 16744 16751 19136 19144 20608 31109 33488 33502 38272 38288 55039 62218 66976 67004 76576 110078 124436 133952 134008 153152 217763 220156 248872 267904 268016 306304 385273 435526 440312 497744 536032 715507 770546 871052 880624 995488 1072064 1431014 1541092 1742104 1761248 1990976 2144128 2862028 3082184 3484208 3522496 3981952 5008549 5724056 6164368 6968416 7044992 10017098 11448112 12328736 13936832 20034196 22896224 24657472 27873664 40068392 45792448 49314944 80136784 91584896 160273568 320547136 641094272