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63090432 = 2832139197
BaseRepresentation
bin1111000010101…
…0111100000000
311101201022210200
43300222330000
5112122343212
610132125200
71364155056
oct360527400
9141638720
1063090432
1132681859
1219166800
13100bc822
1485441d6
1558136dc
hex3c2af00

63090432 has 108 divisors (see below), whose sum is σ = 184143960. Its totient is φ = 20772864.

The previous prime is 63090413. The next prime is 63090437. The reversal of 63090432 is 23409036.

It is a zygodrome in base 4.

It is a junction number, because it is equal to n+sod(n) for n = 63090396 and 63090405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (63090437) 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 11 ways as a sum of consecutive naturals, for example, 320158 + ... + 320354.

Almost surely, 263090432 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 63090432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92071980).

63090432 is an abundant number, since it is smaller than the sum of its proper divisors (121053528).

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

63090432 is a wasteful number, since it uses less digits than its factorization.

63090432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 358 (or 341 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

The square root of 63090432 is about 7942.9485709024. The cubic root of 63090432 is about 398.0960181793.

Adding to 63090432 its reverse (23409036), we get a palindrome (86499468).

The spelling of 63090432 in words is "sixty-three million, ninety thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 139 144 192 197 256 278 288 384 394 417 556 576 591 768 788 834 1112 1152 1182 1251 1576 1668 1773 2224 2304 2364 2502 3152 3336 3546 4448 4728 5004 6304 6672 7092 8896 9456 10008 12608 13344 14184 17792 18912 20016 25216 26688 27383 28368 35584 37824 40032 50432 53376 54766 56736 75648 80064 82149 106752 109532 113472 151296 160128 164298 219064 226944 246447 320256 328596 438128 453888 492894 657192 876256 985788 1314384 1752512 1971576 2628768 3505024 3943152 5257536 7010048 7886304 10515072 15772608 21030144 31545216 63090432