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14248416 = 2537213233
BaseRepresentation
bin110110010110…
…100111100000
3222210220011010
4312112213200
512121422131
61225220520
7232052400
oct66264740
928726133
1014248416
118052056
124931740
132c4b520
141c6c800
1513b6b46
hexd969e0

14248416 has 144 divisors (see below), whose sum is σ = 47056464. Its totient is φ = 3741696.

The previous prime is 14248393. The next prime is 14248417. The reversal of 14248416 is 61484241.

14248416 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14248417) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 61036 + ... + 61268.

It is an arithmetic number, because the mean of its divisors is an integer number (326781).

Almost surely, 214248416 is an apocalyptic number.

14248416 is a gapful number since it is divisible by the number (16) 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 14248416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23528232).

14248416 is an abundant number, since it is smaller than the sum of its proper divisors (32808048).

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

14248416 is a wasteful number, since it uses less digits than its factorization.

14248416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 273 (or 258 counting only the distinct ones).

The product of its digits is 6144, while the sum is 30.

The square root of 14248416 is about 3774.7074058793. The cubic root of 14248416 is about 242.4313959051.

The spelling of 14248416 in words is "fourteen million, two hundred forty-eight thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 32 39 42 48 49 52 56 78 84 91 96 98 104 112 147 156 168 182 196 208 224 233 273 294 312 336 364 392 416 466 546 588 624 637 672 699 728 784 932 1092 1176 1248 1274 1398 1456 1568 1631 1864 1911 2184 2352 2548 2796 2912 3029 3262 3728 3822 4368 4704 4893 5096 5592 6058 6524 7456 7644 8736 9087 9786 10192 11184 11417 12116 13048 15288 18174 19572 20384 21203 22368 22834 24232 26096 30576 34251 36348 39144 42406 45668 48464 52192 61152 63609 68502 72696 78288 84812 91336 96928 127218 137004 145392 148421 156576 169624 182672 254436 274008 290784 296842 339248 365344 445263 508872 548016 593684 678496 890526 1017744 1096032 1187368 1781052 2035488 2374736 3562104 4749472 7124208 14248416