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63438848 = 219112
BaseRepresentation
bin1111001000000…
…0000000000000
311102101000201222
43302000000000
5112220020343
610143414212
71400135624
oct362000000
9142330658
1063438848
113289a600
12192b4368
13101b22a5
1485d5184
155881a68
hex3c80000

63438848 has 60 divisors (see below), whose sum is σ = 139460475. Its totient is φ = 28835840.

The previous prime is 63438839. The next prime is 63438877. The reversal of 63438848 is 84883436.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 31719424 + 31719424 = 5632^2 + 5632^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=5632.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a junction number, because it is equal to n+sod(n) for n = 63438799 and 63438808.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 5767163 + ... + 5767173.

Almost surely, 263438848 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 63438848

63438848 is an abundant number, since it is smaller than the sum of its proper divisors (76021627).

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

63438848 is an frugal number, since it uses more digits than its factorization.

63438848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60 (or 13 counting only the distinct ones).

The product of its digits is 442368, while the sum is 44.

The square root of 63438848 is about 7964.8507832853. The cubic root of 63438848 is about 398.8274997997.

Multiplying 63438848 by its sum of digits (44), we get a cube (2791309312 = 14083).

It can be divided in two parts, 634388 and 48, that added together give a palindrome (634436).

The spelling of 63438848 in words is "sixty-three million, four hundred thirty-eight thousand, eight hundred forty-eight".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 121 128 176 242 256 352 484 512 704 968 1024 1408 1936 2048 2816 3872 4096 5632 7744 8192 11264 15488 16384 22528 30976 32768 45056 61952 65536 90112 123904 131072 180224 247808 262144 360448 495616 524288 720896 991232 1441792 1982464 2883584 3964928 5767168 7929856 15859712 31719424 63438848