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63354112 = 28614057
BaseRepresentation
bin1111000110101…
…1010100000000
311102012201111121
43301223110000
5112204312422
610141522024
71366333603
oct361532400
9142181447
1063354112
1132841978
1219273314
1310182853
1485b233a
1558668c7
hex3c6b500

63354112 has 36 divisors (see below), whose sum is σ = 128565556. Its totient is φ = 31150080.

The previous prime is 63354103. The next prime is 63354119. The reversal of 63354112 is 21145336.

It can be written as a sum of positive squares in 2 ways, for example, as 14017536 + 49336576 = 3744^2 + 7024^2 .

It is a hoax number, since the sum of its digits (25) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (63354119) 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 3 ways as a sum of consecutive naturals, for example, 13588 + ... + 17644.

Almost surely, 263354112 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 63354112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64282778).

63354112 is an abundant number, since it is smaller than the sum of its proper divisors (65211444).

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

63354112 is an equidigital number, since it uses as much as digits as its factorization.

63354112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4134 (or 4120 counting only the distinct ones).

The product of its digits is 2160, while the sum is 25.

The square root of 63354112 is about 7959.5296343440. The cubic root of 63354112 is about 398.6498478504.

Adding to 63354112 its reverse (21145336), we get a palindrome (84499448).

It can be divided in two parts, 633 and 54112, that added together give a palindrome (54745).

The spelling of 63354112 in words is "sixty-three million, three hundred fifty-four thousand, one hundred twelve".

Divisors: 1 2 4 8 16 32 61 64 122 128 244 256 488 976 1952 3904 4057 7808 8114 15616 16228 32456 64912 129824 247477 259648 494954 519296 989908 1038592 1979816 3959632 7919264 15838528 31677056 63354112