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51788828 = 22713731949
BaseRepresentation
bin1100010110001…
…1110000011100
310121110010220202
43011203300130
5101224220303
65050003032
71166124560
oct305436034
9117403822
1051788828
1127262793
1215416478
13a9636a0
146c416a0
15482ec88
hex3163c1c

51788828 has 48 divisors (see below), whose sum is σ = 113131200. Its totient is φ = 20196864.

The previous prime is 51788827. The next prime is 51788837. The reversal of 51788828 is 82888715.

51788828 = 27172 + 27182 + ... + 27232.

It is a super-2 number, since 2×517888282 = 5364165411227168, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51788827) 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, 25598 + ... + 27546.

It is an arithmetic number, because the mean of its divisors is an integer number (2356900).

Almost surely, 251788828 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 51788828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56565600).

51788828 is an abundant number, since it is smaller than the sum of its proper divisors (61342372).

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

51788828 is a wasteful number, since it uses less digits than its factorization.

51788828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2046 (or 2044 counting only the distinct ones).

The product of its digits is 286720, while the sum is 47.

The square root of 51788828 is about 7196.4455115008. The cubic root of 51788828 is about 372.7451725905.

It can be divided in two parts, 517888 and 28, that multiplied together give a square (14500864 = 38082).

The spelling of 51788828 in words is "fifty-one million, seven hundred eighty-eight thousand, eight hundred twenty-eight".

Divisors: 1 2 4 7 13 14 26 28 52 73 91 146 182 292 364 511 949 1022 1898 1949 2044 3796 3898 6643 7796 13286 13643 25337 26572 27286 50674 54572 101348 142277 177359 284554 354718 569108 709436 995939 1849601 1991878 3699202 3983756 7398404 12947207 25894414 51788828