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51539328 = 27351657
BaseRepresentation
bin1100010010011…
…0110110000000
310120222110200000
43010212312000
5101143224303
65040400000
71164035301
oct304466600
9116873600
1051539328
1127102295
1215316000
13a8a6c59
146bb87a8
1547d0da3
hex3126d80

51539328 has 96 divisors (see below), whose sum is σ = 153895560. Its totient is φ = 17169408.

The previous prime is 51539311. The next prime is 51539377. The reversal of 51539328 is 82393515.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 51539292 and 51539301.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 30276 + ... + 31932.

Almost surely, 251539328 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 51539328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76947780).

51539328 is an abundant number, since it is smaller than the sum of its proper divisors (102356232).

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

51539328 is an equidigital number, since it uses as much as digits as its factorization.

51539328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1686 (or 1662 counting only the distinct ones).

The product of its digits is 32400, while the sum is 36.

The square root of 51539328 is about 7179.0896358800. The cubic root of 51539328 is about 372.1456245675.

The spelling of 51539328 in words is "fifty-one million, five hundred thirty-nine thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 243 288 324 384 432 486 576 648 864 972 1152 1296 1657 1728 1944 2592 3314 3456 3888 4971 5184 6628 7776 9942 10368 13256 14913 15552 19884 26512 29826 31104 39768 44739 53024 59652 79536 89478 106048 119304 134217 159072 178956 212096 238608 268434 318144 357912 402651 477216 536868 636288 715824 805302 954432 1073736 1431648 1610604 1908864 2147472 2863296 3221208 4294944 5726592 6442416 8589888 12884832 17179776 25769664 51539328