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51152512 = 271372917
BaseRepresentation
bin1100001100100…
…0011010000000
310120020211001111
43003020122000
5101043340022
65024213104
71160534455
oct303103200
9116224044
1051152512
1126968704
121516a194
13a79cb78
146b1782c
154756477
hex30c8680

51152512 has 32 divisors (see below), whose sum is σ = 102684420. Its totient is φ = 25380864.

The previous prime is 51152489. The next prime is 51152513. The reversal of 51152512 is 21525115.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 42719296 + 8433216 = 6536^2 + 2904^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is not an unprimeable number, because it can be changed into a prime (51152513) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 16078 + ... + 18994.

Almost surely, 251152512 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51152512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51342210).

51152512 is an abundant number, since it is smaller than the sum of its proper divisors (51531908).

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

51152512 is a wasteful number, since it uses less digits than its factorization.

51152512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3068 (or 3056 counting only the distinct ones).

The product of its digits is 500, while the sum is 22.

The square root of 51152512 is about 7152.0984333271. The cubic root of 51152512 is about 371.2122692140.

Adding to 51152512 its reverse (21525115), we get a palindrome (72677627).

The spelling of 51152512 in words is "fifty-one million, one hundred fifty-two thousand, five hundred twelve".

Divisors: 1 2 4 8 16 32 64 128 137 274 548 1096 2192 2917 4384 5834 8768 11668 17536 23336 46672 93344 186688 373376 399629 799258 1598516 3197032 6394064 12788128 25576256 51152512