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13788648 = 2332191509
BaseRepresentation
bin110100100110…
…010111101000
3221221112110200
4310212113220
512012214043
61211312200
7225126066
oct64462750
927845420
1013788648
117868685
12474b660
132b1a183
141b8d036
1513257d3
hexd265e8

13788648 has 24 divisors (see below), whose sum is σ = 37344450. Its totient is φ = 4596192.

The previous prime is 13788637. The next prime is 13788653. The reversal of 13788648 is 84688731.

13788648 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 11410884 + 2377764 = 3378^2 + 1542^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 95683 + ... + 95826.

Almost surely, 213788648 is an apocalyptic number.

13788648 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

13788648 is an abundant number, since it is smaller than the sum of its proper divisors (23555802).

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

13788648 is a wasteful number, since it uses less digits than its factorization.

13788648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191521 (or 191514 counting only the distinct ones).

The product of its digits is 258048, while the sum is 45.

The square root of 13788648 is about 3713.3068820123. The cubic root of 13788648 is about 239.7952420254.

The spelling of 13788648 in words is "thirteen million, seven hundred eighty-eight thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 191509 383018 574527 766036 1149054 1532072 1723581 2298108 3447162 4596216 6894324 13788648