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63861248 = 2911172329
BaseRepresentation
bin1111001110011…
…1001000000000
311110011111011102
43303213020000
5112322024443
610200433532
71403545253
oct363471000
9143144142
1063861248
11330589a0
12194788a8
13102cc629
1486a509a
155916cb8
hex3ce7200

63861248 has 160 divisors (see below), whose sum is σ = 159096960. Its totient is φ = 25231360.

The previous prime is 63861241. The next prime is 63861253. The reversal of 63861248 is 84216836.

It is a happy number.

It is a super-2 number, since 2×638612482 = 8156517992235008, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (63861241) 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, 2202098 + ... + 2202126.

It is an arithmetic number, because the mean of its divisors is an integer number (994356).

Almost surely, 263861248 is an apocalyptic number.

63861248 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 63861248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79548480).

63861248 is an abundant number, since it is smaller than the sum of its proper divisors (95235712).

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

63861248 is a wasteful number, since it uses less digits than its factorization.

63861248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 82 counting only the distinct ones).

The product of its digits is 55296, while the sum is 38.

The square root of 63861248 is about 7991.3232946740. The cubic root of 63861248 is about 399.7107241825.

The spelling of 63861248 in words is "sixty-three million, eight hundred sixty-one thousand, two hundred forty-eight".

Divisors: 1 2 4 8 11 16 17 22 23 29 32 34 44 46 58 64 68 88 92 116 128 136 176 184 187 232 253 256 272 319 352 368 374 391 464 493 506 512 544 638 667 704 736 748 782 928 986 1012 1088 1276 1334 1408 1472 1496 1564 1856 1972 2024 2176 2552 2668 2816 2944 2992 3128 3712 3944 4048 4301 4352 5104 5336 5423 5632 5888 5984 6256 7337 7424 7888 8096 8602 8704 10208 10672 10846 11339 11776 11968 12512 14674 14848 15776 16192 17204 20416 21344 21692 22678 23936 25024 29348 31552 32384 34408 40832 42688 43384 45356 47872 50048 58696 63104 64768 68816 81664 85376 86768 90712 95744 100096 117392 124729 126208 129536 137632 163328 170752 173536 181424 200192 234784 249458 252416 275264 341504 347072 362848 469568 498916 550528 694144 725696 939136 997832 1101056 1388288 1451392 1878272 1995664 2202112 2776576 2902784 3756544 3991328 5805568 7982656 15965312 31930624 63861248