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13933248 = 263721481
BaseRepresentation
bin110101001001…
…101011000000
3222012212211020
4311021223000
512031330443
61214345440
7226300500
oct65115300
928185736
1013933248
11795728a
1247bb280
132b6ac34
141bc9a00
151353583
hexd49ac0

13933248 has 84 divisors (see below), whose sum is σ = 42912792. Its totient is φ = 3978240.

The previous prime is 13933207. The next prime is 13933267. The reversal of 13933248 is 84233931.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (84).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8668 + ... + 10148.

Almost surely, 213933248 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 13933248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21456396).

13933248 is an abundant number, since it is smaller than the sum of its proper divisors (28979544).

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

13933248 is a wasteful number, since it uses less digits than its factorization.

13933248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1510 (or 1493 counting only the distinct ones).

The product of its digits is 15552, while the sum is 33.

The square root of 13933248 is about 3732.7266173670. The cubic root of 13933248 is about 240.6305640587.

The spelling of 13933248 in words is "thirteen million, nine hundred thirty-three thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 64 84 96 98 112 147 168 192 196 224 294 336 392 448 588 672 784 1176 1344 1481 1568 2352 2962 3136 4443 4704 5924 8886 9408 10367 11848 17772 20734 23696 31101 35544 41468 47392 62202 71088 72569 82936 94784 124404 142176 145138 165872 217707 248808 284352 290276 331744 435414 497616 580552 663488 870828 995232 1161104 1741656 1990464 2322208 3483312 4644416 6966624 13933248