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51133293 = 3229195913
BaseRepresentation
bin1100001100001…
…1101101101101
310120012211200200
43003003231231
5101042231133
65023544113
71160424441
oct303035555
9116184620
1051133293
1126955222
121515b039
13a7941b3
146b10821
154750913
hex30c3b6d

51133293 has 12 divisors (see below), whose sum is σ = 76406460. Its totient is φ = 32913216.

The previous prime is 51133279. The next prime is 51133307. The reversal of 51133293 is 39233115.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (51133279) and next prime (51133307).

It can be written as a sum of positive squares in 2 ways, for example, as 20629764 + 30503529 = 4542^2 + 5523^2 .

It is not a de Polignac number, because 51133293 - 217 = 51002221 is a prime.

It is a super-2 number, since 2×511332932 = 5229227306047698, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51133213) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 97696 + ... + 98217.

It is an arithmetic number, because the mean of its divisors is an integer number (6367205).

Almost surely, 251133293 is an apocalyptic number.

It is an amenable number.

51133293 is a deficient number, since it is larger than the sum of its proper divisors (25273167).

51133293 is a wasteful number, since it uses less digits than its factorization.

51133293 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195948 (or 195945 counting only the distinct ones).

The product of its digits is 2430, while the sum is 27.

The square root of 51133293 is about 7150.7547154129. The cubic root of 51133293 is about 371.1657728184.

The spelling of 51133293 in words is "fifty-one million, one hundred thirty-three thousand, two hundred ninety-three".

Divisors: 1 3 9 29 87 261 195913 587739 1763217 5681477 17044431 51133293