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13750752 = 253227631
BaseRepresentation
bin110100011101…
…000111100000
3221212121111010
4310131013200
512010011002
61210420520
7224610441
oct64350740
927777433
1013750752
117842164
124731740
132b05b52
141b7d2c8
15131946c
hexd1d1e0

13750752 has 48 divisors (see below), whose sum is σ = 36312192. Its totient is φ = 4556160.

The previous prime is 13750747. The next prime is 13750769. The reversal of 13750752 is 25705731.

It is a tau number, because it is divible by the number of its divisors (48).

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 7 ways as a sum of consecutive naturals, for example, 21477 + ... + 22107.

It is an arithmetic number, because the mean of its divisors is an integer number (756504).

Almost surely, 213750752 is an apocalyptic number.

13750752 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 13750752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18156096).

13750752 is an abundant number, since it is smaller than the sum of its proper divisors (22561440).

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

13750752 is a wasteful number, since it uses less digits than its factorization.

13750752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 871 (or 863 counting only the distinct ones).

The product of its (nonzero) digits is 7350, while the sum is 30.

The square root of 13750752 is about 3708.2006418208. The cubic root of 13750752 is about 239.5753602253.

The spelling of 13750752 in words is "thirteen million, seven hundred fifty thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 227 454 631 681 908 1262 1362 1816 1893 2524 2724 3632 3786 5048 5448 7264 7572 10096 10896 15144 20192 21792 30288 60576 143237 286474 429711 572948 859422 1145896 1718844 2291792 3437688 4583584 6875376 13750752