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51188224 = 29175881
BaseRepresentation
bin1100001101000…
…1001000000000
310120022122001011
43003101020000
5101101010344
65025050304
71161043543
oct303211000
9116278034
1051188224
112699251a
1215186994
13a7b31b9
146b2685a
154761d34
hex30d1200

51188224 has 40 divisors (see below), whose sum is σ = 108311148. Its totient is φ = 24084480.

The previous prime is 51188197. The next prime is 51188233. The reversal of 51188224 is 42288115.

It can be written as a sum of positive squares in 2 ways, for example, as 45805824 + 5382400 = 6768^2 + 2320^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5764 + ... + 11644.

Almost surely, 251188224 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 51188224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54155574).

51188224 is an abundant number, since it is smaller than the sum of its proper divisors (57122924).

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

51188224 is an equidigital number, since it uses as much as digits as its factorization.

51188224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5916 (or 5900 counting only the distinct ones).

The product of its digits is 5120, while the sum is 31.

The square root of 51188224 is about 7154.5946076630. The cubic root of 51188224 is about 371.2986360947.

The spelling of 51188224 in words is "fifty-one million, one hundred eighty-eight thousand, two hundred twenty-four".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 256 272 512 544 1088 2176 4352 5881 8704 11762 23524 47048 94096 99977 188192 199954 376384 399908 752768 799816 1505536 1599632 3011072 3199264 6398528 12797056 25594112 51188224