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13808448 = 263361131
BaseRepresentation
bin110100101011…
…001101000000
3221222112122000
4310223031000
512013332243
61211544000
7225240603
oct64531500
927875560
1013808448
117881545
12475b000
132b261a4
141b9633a
15132b5d3
hexd2b340

13808448 has 112 divisors (see below), whose sum is σ = 41574720. Its totient is φ = 4492800.

The previous prime is 13808401. The next prime is 13808449. The reversal of 13808448 is 84480831.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13808449) 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, 105343 + ... + 105473.

Almost surely, 213808448 is an apocalyptic number.

13808448 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 13808448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20787360).

13808448 is an abundant number, since it is smaller than the sum of its proper divisors (27766272).

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

13808448 is a wasteful number, since it uses less digits than its factorization.

13808448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 13808448 is about 3715.9720128117. The cubic root of 13808448 is about 239.9099662289.

The spelling of 13808448 in words is "thirteen million, eight hundred eight thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 61 64 72 96 108 122 131 144 183 192 216 244 262 288 366 393 432 488 524 549 576 732 786 864 976 1048 1098 1179 1464 1572 1647 1728 1952 2096 2196 2358 2928 3144 3294 3537 3904 4192 4392 4716 5856 6288 6588 7074 7991 8384 8784 9432 11712 12576 13176 14148 15982 17568 18864 23973 25152 26352 28296 31964 35136 37728 47946 52704 56592 63928 71919 75456 95892 105408 113184 127856 143838 191784 215757 226368 255712 287676 383568 431514 511424 575352 767136 863028 1150704 1534272 1726056 2301408 3452112 4602816 6904224 13808448