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14413248 = 263319439
BaseRepresentation
bin110110111110…
…110111000000
31000010021021000
4312332313000
512142210443
61232532000
7233340063
oct66766700
930107230
1014413248
118154983
1249b1000
132ca8565
141cb28da
1513ea8d3
hexdbedc0

14413248 has 112 divisors (see below), whose sum is σ = 44704000. Its totient is φ = 4541184.

The previous prime is 14413207. The next prime is 14413253. The reversal of 14413248 is 84231441.

14413248 is a `hidden beast` number, since 1 + 4 + 413 + 248 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32613 + ... + 33051.

Almost surely, 214413248 is an apocalyptic number.

14413248 is a gapful number since it is divisible by the number (18) 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 14413248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22352000).

14413248 is an abundant number, since it is smaller than the sum of its proper divisors (30290752).

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

14413248 is a wasteful number, since it uses less digits than its factorization.

14413248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 479 (or 463 counting only the distinct ones).

The product of its digits is 3072, while the sum is 27.

The square root of 14413248 is about 3796.4783681723. The cubic root of 14413248 is about 243.3626652992.

Adding to 14413248 its reverse (84231441), we get a palindrome (98644689).

The spelling of 14413248 in words is "fourteen million, four hundred thirteen thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 32 36 38 48 54 57 64 72 76 96 108 114 144 152 171 192 216 228 288 304 342 432 439 456 513 576 608 684 864 878 912 1026 1216 1317 1368 1728 1756 1824 2052 2634 2736 3512 3648 3951 4104 5268 5472 7024 7902 8208 8341 10536 10944 11853 14048 15804 16416 16682 21072 23706 25023 28096 31608 32832 33364 42144 47412 50046 63216 66728 75069 84288 94824 100092 126432 133456 150138 189648 200184 225207 252864 266912 300276 379296 400368 450414 533824 600552 758592 800736 900828 1201104 1601472 1801656 2402208 3603312 4804416 7206624 14413248