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13888448 = 267291069
BaseRepresentation
bin110100111110…
…101111000000
3222010121100222
4310332233000
512023412243
61213402212
7226023050
oct64765700
928117328
1013888448
117926662
124799368
132b53722
141bb7560
151345168
hexd3ebc0

13888448 has 56 divisors (see below), whose sum is σ = 32613600. Its totient is φ = 5741568.

The previous prime is 13888447. The next prime is 13888471. The reversal of 13888448 is 84488831.

It is a tau number, because it is divible by the number of its divisors (56).

It is a junction number, because it is equal to n+sod(n) for n = 13888399 and 13888408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13888447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12458 + ... + 13526.

Almost surely, 213888448 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 13888448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16306800).

13888448 is an abundant number, since it is smaller than the sum of its proper divisors (18725152).

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

13888448 is a wasteful number, since it uses less digits than its factorization.

13888448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1117 (or 1107 counting only the distinct ones).

The product of its digits is 196608, while the sum is 44.

The square root of 13888448 is about 3726.7208105787. The cubic root of 13888448 is about 240.3723848704.

The spelling of 13888448 in words is "thirteen million, eight hundred eighty-eight thousand, four hundred forty-eight".

Divisors: 1 2 4 7 8 14 16 28 29 32 56 58 64 112 116 203 224 232 406 448 464 812 928 1069 1624 1856 2138 3248 4276 6496 7483 8552 12992 14966 17104 29932 31001 34208 59864 62002 68416 119728 124004 217007 239456 248008 434014 478912 496016 868028 992032 1736056 1984064 3472112 6944224 13888448