Search a number
-
+
53378688 = 2731112637
BaseRepresentation
bin1100101110011…
…1111010000000
310201102220210110
43023213322000
5102131104223
65144031320
71215465666
oct313477200
9121386713
1053378688
1128149220
1215a62540
13b09c22c
147136c36
154a45d93
hex32e7e80

53378688 has 64 divisors (see below), whose sum is σ = 154689120. Its totient is φ = 16174080.

The previous prime is 53378681. The next prime is 53378693. The reversal of 53378688 is 88687335.

It is a happy number.

53378688 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (53378681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2095 + ... + 10542.

Almost surely, 253378688 is an apocalyptic number.

It is an amenable number.

53378688 is an abundant number, since it is smaller than the sum of its proper divisors (101310432).

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

53378688 is a wasteful number, since it uses less digits than its factorization.

53378688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12665 (or 12653 counting only the distinct ones).

The product of its digits is 967680, while the sum is 48.

The square root of 53378688 is about 7306.0719952653. The cubic root of 53378688 is about 376.5210822591.

The spelling of 53378688 in words is "fifty-three million, three hundred seventy-eight thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 264 352 384 528 704 1056 1408 2112 4224 12637 25274 37911 50548 75822 101096 139007 151644 202192 278014 303288 404384 417021 556028 606576 808768 834042 1112056 1213152 1617536 1668084 2224112 2426304 3336168 4448224 4852608 6672336 8896448 13344672 17792896 26689344 53378688