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14834448 = 2433231493
BaseRepresentation
bin111000100101…
…101100010000
31000220200001000
4320211230100
512244200243
61245542000
7240043056
oct70455420
930820030
1014834448
118412382
124b74900
1330c51a5
141d821d6
1514805d3
hexe25b10

14834448 has 80 divisors (see below), whose sum is σ = 44461440. Its totient is φ = 4726656.

The previous prime is 14834437. The next prime is 14834509. The reversal of 14834448 is 84443841.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 15 ways as a sum of consecutive naturals, for example, 9190 + ... + 10682.

It is an arithmetic number, because the mean of its divisors is an integer number (555768).

Almost surely, 214834448 is an apocalyptic number.

14834448 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 14834448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22230720).

14834448 is an abundant number, since it is smaller than the sum of its proper divisors (29626992).

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

14834448 is a wasteful number, since it uses less digits than its factorization.

14834448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1533 (or 1521 counting only the distinct ones).

The product of its digits is 49152, while the sum is 36.

The square root of 14834448 is about 3851.5513757446. The cubic root of 14834448 is about 245.7105459268.

It can be divided in two parts, 148 and 34448, that added together give a square (34596 = 1862).

The spelling of 14834448 in words is "fourteen million, eight hundred thirty-four thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 27 36 46 48 54 69 72 92 108 138 144 184 207 216 276 368 414 432 552 621 828 1104 1242 1493 1656 2484 2986 3312 4479 4968 5972 8958 9936 11944 13437 17916 23888 26874 34339 35832 40311 53748 68678 71664 80622 103017 107496 137356 161244 206034 214992 274712 309051 322488 412068 549424 618102 644976 824136 927153 1236204 1648272 1854306 2472408 3708612 4944816 7417224 14834448