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641115432 = 233323129049
BaseRepresentation
bin100110001101101…
…010010100101000
31122200101001001000
4212031222110220
52303111143212
6143341155000
721613251126
oct4615522450
91580331030
10641115432
112a9990571
1215a85ba60
13a2a93059
146120a916
153b4401dc
hex2636a528

641115432 has 64 divisors (see below), whose sum is σ = 1858320000. Its totient is φ = 204412032.

The previous prime is 641115413. The next prime is 641115439. The reversal of 641115432 is 234511146.

It is a happy number.

641115432 is a `hidden beast` number, since 6 + 4 + 111 + 543 + 2 = 666.

It is a super-2 number, since 2×6411154322 = 822057994297093248, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 641115396 and 641115405.

It is not an unprimeable number, because it can be changed into a prime (641115439) 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 15 ways as a sum of consecutive naturals, for example, 59557 + ... + 69492.

It is an arithmetic number, because the mean of its divisors is an integer number (29036250).

Almost surely, 2641115432 is an apocalyptic number.

It is an amenable number.

641115432 is an abundant number, since it is smaller than the sum of its proper divisors (1217204568).

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

641115432 is a wasteful number, since it uses less digits than its factorization.

641115432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129087 (or 129077 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

The square root of 641115432 is about 25320.2573446638. The cubic root of 641115432 is about 862.2742365627.

Adding to 641115432 its reverse (234511146), we get a palindrome (875626578).

The spelling of 641115432 in words is "six hundred forty-one million, one hundred fifteen thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 27 36 46 54 69 72 92 108 138 184 207 216 276 414 552 621 828 1242 1656 2484 4968 129049 258098 387147 516196 774294 1032392 1161441 1548588 2322882 2968127 3097176 3484323 4645764 5936254 6968646 8904381 9291528 11872508 13937292 17808762 23745016 26713143 27874584 35617524 53426286 71235048 80139429 106852572 160278858 213705144 320557716 641115432