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63831328 = 25111710667
BaseRepresentation
bin1111001101111…
…1110100100000
311110002222010021
43303133310200
5112320100303
610200043224
71403362111
oct363376440
9143088107
1063831328
1133038470
1219463514
13102bbb22
148698208
15590cebd
hex3cdfd20

63831328 has 48 divisors (see below), whose sum is σ = 145170144. Its totient is φ = 27304960.

The previous prime is 63831319. The next prime is 63831331. The reversal of 63831328 is 82313836.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a junction number, because it is equal to n+sod(n) for n = 63831293 and 63831302.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 651 + ... + 11317.

It is an arithmetic number, because the mean of its divisors is an integer number (3024378).

Almost surely, 263831328 is an apocalyptic number.

63831328 is a gapful number since it is divisible by the number (68) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 63831328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72585072).

63831328 is an abundant number, since it is smaller than the sum of its proper divisors (81338816).

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

63831328 is a wasteful number, since it uses less digits than its factorization.

63831328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10705 (or 10697 counting only the distinct ones).

The product of its digits is 20736, while the sum is 34.

The square root of 63831328 is about 7989.4510449717. The cubic root of 63831328 is about 399.6482908423.

The spelling of 63831328 in words is "sixty-three million, eight hundred thirty-one thousand, three hundred twenty-eight".

Divisors: 1 2 4 8 11 16 17 22 32 34 44 68 88 136 176 187 272 352 374 544 748 1496 2992 5984 10667 21334 42668 85336 117337 170672 181339 234674 341344 362678 469348 725356 938696 1450712 1877392 1994729 2901424 3754784 3989458 5802848 7978916 15957832 31915664 63831328