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14899248 = 2433713379
BaseRepresentation
bin111000110101…
…100000110000
31001000221221000
4320311200300
512303233443
61251202000
7240433020
oct70654060
931027830
1014899248
118457031
124ba6300
133118830
141d9ba80
1514948d3
hexe35830

14899248 has 160 divisors (see below), whose sum is σ = 52774400. Its totient is φ = 3919104.

The previous prime is 14899231. The next prime is 14899253. The reversal of 14899248 is 84299841.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 39123 + ... + 39501.

It is an arithmetic number, because the mean of its divisors is an integer number (329840).

Almost surely, 214899248 is an apocalyptic number.

14899248 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 14899248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26387200).

14899248 is an abundant number, since it is smaller than the sum of its proper divisors (37875152).

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

14899248 is a wasteful number, since it uses less digits than its factorization.

14899248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 416 (or 404 counting only the distinct ones).

The product of its digits is 165888, while the sum is 45.

The square root of 14899248 is about 3859.9544038758. The cubic root of 14899248 is about 246.0677980887.

The spelling of 14899248 in words is "fourteen million, eight hundred ninety-nine thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 13 14 16 18 21 24 26 27 28 36 39 42 48 52 54 56 63 72 78 84 91 104 108 112 117 126 144 156 168 182 189 208 216 234 252 273 312 336 351 364 378 379 432 468 504 546 624 702 728 756 758 819 936 1008 1092 1137 1404 1456 1512 1516 1638 1872 2184 2274 2457 2653 2808 3024 3032 3276 3411 4368 4548 4914 4927 5306 5616 6064 6552 6822 7959 9096 9828 9854 10233 10612 13104 13644 14781 15918 18192 19656 19708 20466 21224 23877 27288 29562 31836 34489 39312 39416 40932 42448 44343 47754 54576 59124 63672 68978 71631 78832 81864 88686 95508 103467 118248 127344 133029 137956 143262 163728 177372 191016 206934 236496 266058 275912 286524 310401 354744 382032 413868 532116 551824 573048 620802 709488 827736 931203 1064232 1146096 1241604 1655472 1862406 2128464 2483208 3724812 4966416 7449624 14899248