Search a number
-
+
14907648 = 28374759
BaseRepresentation
bin111000110111…
…100100000000
31001001101110010
4320313210000
512304021043
61251304520
7240466350
oct70674400
931041403
1014907648
118462378
124bab140
13311c5c2
141da0b60
151497133
hexe37900

14907648 has 144 divisors (see below), whose sum is σ = 47093760. Its totient is φ = 4098048.

The previous prime is 14907637. The next prime is 14907649. The reversal of 14907648 is 84670941.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (14907649) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 252643 + ... + 252701.

It is an arithmetic number, because the mean of its divisors is an integer number (327040).

Almost surely, 214907648 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14907648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23546880).

14907648 is an abundant number, since it is smaller than the sum of its proper divisors (32186112).

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

14907648 is an equidigital number, since it uses as much as digits as its factorization.

14907648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 39.

The square root of 14907648 is about 3861.0423463101. The cubic root of 14907648 is about 246.1140326634.

The spelling of 14907648 in words is "fourteen million, nine hundred seven thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 47 48 56 59 64 84 94 96 112 118 128 141 168 177 188 192 224 236 256 282 329 336 354 376 384 413 448 472 564 658 672 708 752 768 826 896 944 987 1128 1239 1316 1344 1416 1504 1652 1792 1888 1974 2256 2478 2632 2688 2773 2832 3008 3304 3776 3948 4512 4956 5264 5376 5546 5664 6016 6608 7552 7896 8319 9024 9912 10528 11092 11328 12032 13216 15104 15792 16638 18048 19411 19824 21056 22184 22656 26432 31584 33276 36096 38822 39648 42112 44368 45312 52864 58233 63168 66552 77644 79296 84224 88736 105728 116466 126336 133104 155288 158592 177472 232932 252672 266208 310576 317184 354944 465864 532416 621152 709888 931728 1064832 1242304 1863456 2129664 2484608 3726912 4969216 7453824 14907648