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51284436 = 2237718599
BaseRepresentation
bin1100001110100…
…0100111010100
310120111112000120
43003220213110
5101112100221
65031111540
71161624210
oct303504724
9116445016
1051284436
1126a48835
12152125b0
13a817c28
146b4d940
1547805c6
hex30e89d4

51284436 has 48 divisors (see below), whose sum is σ = 138700800. Its totient is φ = 14444640.

The previous prime is 51284417. The next prime is 51284437. The reversal of 51284436 is 63448215.

It is a junction number, because it is equal to n+sod(n) for n = 51284397 and 51284406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51284437) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1665 + ... + 10263.

It is an arithmetic number, because the mean of its divisors is an integer number (2889600).

Almost surely, 251284436 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 51284436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69350400).

51284436 is an abundant number, since it is smaller than the sum of its proper divisors (87416364).

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

51284436 is a wasteful number, since it uses less digits than its factorization.

51284436 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8684 (or 8682 counting only the distinct ones).

The product of its digits is 23040, while the sum is 33.

The square root of 51284436 is about 7161.3152423280. The cubic root of 51284436 is about 371.5311181212.

It can be divided in two parts, 512 and 84436, that added together give a palindrome (84948).

The spelling of 51284436 in words is "fifty-one million, two hundred eighty-four thousand, four hundred thirty-six".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 71 84 142 213 284 426 497 852 994 1491 1988 2982 5964 8599 17198 25797 34396 51594 60193 103188 120386 180579 240772 361158 610529 722316 1221058 1831587 2442116 3663174 4273703 7326348 8547406 12821109 17094812 25642218 51284436