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63129352 = 231113139397
BaseRepresentation
bin1111000011010…
…0011100001000
311101210022012011
43300310130020
5112130114402
610133025304
71364406406
oct360643410
9141708164
1063129352
11326a9020
1219185234
1310104460
148554476
15581eed7
hex3c34708

63129352 has 64 divisors (see below), whose sum is σ = 140414400. Its totient is φ = 26231040.

The previous prime is 63129337. The next prime is 63129359. The reversal of 63129352 is 25392136.

It is not an unprimeable number, because it can be changed into a prime (63129359) 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, 158818 + ... + 159214.

It is an arithmetic number, because the mean of its divisors is an integer number (2193975).

Almost surely, 263129352 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 63129352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70207200).

63129352 is an abundant number, since it is smaller than the sum of its proper divisors (77285048).

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

63129352 is a wasteful number, since it uses less digits than its factorization.

63129352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 566 (or 562 counting only the distinct ones).

The product of its digits is 9720, while the sum is 31.

The square root of 63129352 is about 7945.3981649757. The cubic root of 63129352 is about 398.1778621379.

The spelling of 63129352 in words is "sixty-three million, one hundred twenty-nine thousand, three hundred fifty-two".

Divisors: 1 2 4 8 11 13 22 26 44 52 88 104 139 143 278 286 397 556 572 794 1112 1144 1529 1588 1807 3058 3176 3614 4367 5161 6116 7228 8734 10322 12232 14456 17468 19877 20644 34936 39754 41288 55183 56771 79508 110366 113542 159016 220732 227084 441464 454168 607013 717379 1214026 1434758 2428052 2869516 4856104 5739032 7891169 15782338 31564676 63129352