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641226132 = 22343789601
BaseRepresentation
bin100110001110000…
…101010110010100
31122200120122220000
4212032011112110
52303123214012
6143343411300
721614221641
oct4616052624
91580518800
10641226132
112a9a56758
1215a8b3b30
13a2b01561
1461238dc8
153b462ddc
hex26385594

641226132 has 120 divisors (see below), whose sum is σ = 1743837480. Its totient is φ = 205286400.

The previous prime is 641226127. The next prime is 641226133. The reversal of 641226132 is 231622146.

641226132 is a `hidden beast` number, since 6 + 41 + 2 + 2 + 613 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 229704336 + 411521796 = 15156^2 + 20286^2 .

It is a super-2 number, since 2×6412261322 = 822341904719362848, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 641226096 and 641226105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (641226133) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 1066632 + ... + 1067232.

It is an arithmetic number, because the mean of its divisors is an integer number (14531979).

Almost surely, 2641226132 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 641226132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (871918740).

641226132 is an abundant number, since it is smaller than the sum of its proper divisors (1102611348).

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

641226132 is a wasteful number, since it uses less digits than its factorization.

641226132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 743 (or 732 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 641226132 is about 25322.4432470487. The cubic root of 641226132 is about 862.3238627089.

Adding to 641226132 its reverse (231622146), we get a palindrome (872848278).

The spelling of 641226132 in words is "six hundred forty-one million, two hundred twenty-six thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 37 54 74 81 89 108 111 148 162 178 222 267 324 333 356 444 534 601 666 801 999 1068 1202 1332 1602 1803 1998 2403 2404 2997 3204 3293 3606 3996 4806 5409 5994 6586 7209 7212 9612 9879 10818 11988 13172 14418 16227 19758 21636 22237 28836 29637 32454 39516 44474 48681 53489 59274 64908 66711 88911 88948 97362 106978 118548 133422 160467 177822 194724 200133 213956 266733 266844 320934 355644 400266 481401 533466 600399 641868 800532 962802 1066932 1200798 1444203 1801197 1925604 1979093 2401596 2888406 3602394 3958186 4332609 5776812 5937279 7204788 7916372 8665218 11874558 17330436 17811837 23749116 35623674 53435511 71247348 106871022 160306533 213742044 320613066 641226132