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63116352 = 2632138429
BaseRepresentation
bin1111000011000…
…1010001000000
311101202122100200
43300301101000
5112124210402
610132445200
71364323455
oct360612100
9141678320
1063116352
113269a282
1219179800
13100cb570
14854d82c
15581b21c
hex3c31440

63116352 has 84 divisors (see below), whose sum is σ = 194851020. Its totient is φ = 19418112.

The previous prime is 63116323. The next prime is 63116353. The reversal of 63116352 is 25361136.

It can be written as a sum of positive squares in 2 ways, for example, as 9884736 + 53231616 = 3144^2 + 7296^2 .

It is not an unprimeable number, because it can be changed into a prime (63116353) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3274 + ... + 11702.

It is an arithmetic number, because the mean of its divisors is an integer number (2319655).

Almost surely, 263116352 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 63116352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97425510).

63116352 is an abundant number, since it is smaller than the sum of its proper divisors (131734668).

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

63116352 is a wasteful number, since it uses less digits than its factorization.

63116352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8460 (or 8447 counting only the distinct ones).

The product of its digits is 3240, while the sum is 27.

The square root of 63116352 is about 7944.5800392469. The cubic root of 63116352 is about 398.1505284840.

Adding to 63116352 its reverse (25361136), we get a palindrome (88477488).

The spelling of 63116352 in words is "sixty-three million, one hundred sixteen thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 64 72 78 96 104 117 144 156 192 208 234 288 312 416 468 576 624 832 936 1248 1872 2496 3744 7488 8429 16858 25287 33716 50574 67432 75861 101148 109577 134864 151722 202296 219154 269728 303444 328731 404592 438308 539456 606888 657462 809184 876616 986193 1213776 1314924 1618368 1753232 1972386 2427552 2629848 3506464 3944772 4855104 5259696 7012928 7889544 10519392 15779088 21038784 31558176 63116352