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53664007 = 293159693
BaseRepresentation
bin1100110010110…
…1100100000111
310201222102011211
43030231210013
5102214222012
65154112251
71221064555
oct314554407
9121872154
1053664007
1128323621
1215b7b687
13b16c067
1471acbd5
154aa06a7
hex332d907

53664007 has 8 divisors (see below), whose sum is σ = 57306240. Its totient is φ = 50141280.

The previous prime is 53663971. The next prime is 53664011. The reversal of 53664007 is 70046635.

53664007 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-53664007 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 53664007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53664047) 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, 28948 + ... + 30745.

It is an arithmetic number, because the mean of its divisors is an integer number (7163280).

Almost surely, 253664007 is an apocalyptic number.

53664007 is a deficient number, since it is larger than the sum of its proper divisors (3642233).

53664007 is a wasteful number, since it uses less digits than its factorization.

53664007 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59753.

The product of its (nonzero) digits is 15120, while the sum is 31.

The square root of 53664007 is about 7325.5721278273. The cubic root of 53664007 is about 377.1907488771.

The spelling of 53664007 in words is "fifty-three million, six hundred sixty-four thousand, seven".

Divisors: 1 29 31 899 59693 1731097 1850483 53664007