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13803552 = 2532741167
BaseRepresentation
bin110100101010…
…000000100000
3221222021220200
4310222000200
512013203202
61211505200
7225220410
oct64520040
927867820
1013803552
1178788a4
124758200
132b23ba9
141b94640
151329e1c
hexd2a020

13803552 has 144 divisors (see below), whose sum is σ = 46230912. Its totient is φ = 3824640.

The previous prime is 13803547. The next prime is 13803577. The reversal of 13803552 is 25530831.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 82573 + ... + 82739.

It is an arithmetic number, because the mean of its divisors is an integer number (321048).

Almost surely, 213803552 is an apocalyptic number.

13803552 is a gapful number since it is divisible by the number (12) 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 13803552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23115456).

13803552 is an abundant number, since it is smaller than the sum of its proper divisors (32427360).

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

13803552 is a wasteful number, since it uses less digits than its factorization.

13803552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 13803552 is about 3715.3131765707. The cubic root of 13803552 is about 239.8816082738.

The spelling of 13803552 in words is "thirteen million, eight hundred three thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 41 42 48 56 63 72 82 84 96 112 123 126 144 164 167 168 224 246 252 287 288 328 334 336 369 492 501 504 574 656 668 672 738 861 984 1002 1008 1148 1169 1312 1336 1476 1503 1722 1968 2004 2016 2296 2338 2583 2672 2952 3006 3444 3507 3936 4008 4592 4676 5166 5344 5904 6012 6847 6888 7014 8016 9184 9352 10332 10521 11808 12024 13694 13776 14028 16032 18704 20541 20664 21042 24048 27388 27552 28056 37408 41082 41328 42084 47929 48096 54776 56112 61623 82164 82656 84168 95858 109552 112224 123246 143787 164328 168336 191716 219104 246492 287574 328656 336672 383432 431361 492984 575148 657312 766864 862722 985968 1150296 1533728 1725444 1971936 2300592 3450888 4601184 6901776 13803552