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13946448 = 2432943233
BaseRepresentation
bin110101001100…
…111001010000
3222020112221010
4311030321100
512032241243
61214530520
7226354125
oct65147120
928215833
1013946448
11796619a
124806a40
132b73c49
141bd074c
151357433
hexd4ce50

13946448 has 80 divisors (see below), whose sum is σ = 38301120. Its totient is φ = 4365312.

The previous prime is 13946411. The next prime is 13946461. The reversal of 13946448 is 84464931.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 59740 + ... + 59972.

It is an arithmetic number, because the mean of its divisors is an integer number (478764).

Almost surely, 213946448 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 13946448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19150560).

13946448 is an abundant number, since it is smaller than the sum of its proper divisors (24354672).

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

13946448 is a wasteful number, since it uses less digits than its factorization.

13946448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 316 (or 310 counting only the distinct ones).

The product of its digits is 82944, while the sum is 39.

The square root of 13946448 is about 3734.4943432813. The cubic root of 13946448 is about 240.7065291392.

The spelling of 13946448 in words is "thirteen million, nine hundred forty-six thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 29 43 48 58 86 87 116 129 172 174 232 233 258 344 348 464 466 516 688 696 699 932 1032 1247 1392 1398 1864 2064 2494 2796 3728 3741 4988 5592 6757 7482 9976 10019 11184 13514 14964 19952 20038 20271 27028 29928 30057 40076 40542 54056 59856 60114 80152 81084 108112 120228 160304 162168 240456 290551 324336 480912 581102 871653 1162204 1743306 2324408 3486612 4648816 6973224 13946448