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51532848 = 2434172339
BaseRepresentation
bin1100010010010…
…1010000110000
310120222010210000
43010211100300
5101143022343
65040310000
71164010353
oct304452060
9116863700
1051532848
11270a8434
1215312300
13a8a4013
146bb629a
1547cded3
hex3125430

51532848 has 100 divisors (see below), whose sum is σ = 157992120. Its totient is φ = 16160256.

The previous prime is 51532837. The next prime is 51532867. The reversal of 51532848 is 84823515.

It is a happy number.

It is a super-2 number, since 2×515328482 = 5311268845982208, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 20863 + ... + 23201.

Almost surely, 251532848 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 51532848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78996060).

51532848 is an abundant number, since it is smaller than the sum of its proper divisors (106459272).

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

51532848 is a wasteful number, since it uses less digits than its factorization.

51532848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2376 (or 2361 counting only the distinct ones).

The product of its digits is 38400, while the sum is 36.

The square root of 51532848 is about 7178.6383109891. The cubic root of 51532848 is about 372.1300273862.

It can be divided in two parts, 5153 and 2848, that added together give a triangular number (8001 = T126).

The spelling of 51532848 in words is "fifty-one million, five hundred thirty-two thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 34 36 48 51 54 68 72 81 102 108 136 144 153 162 204 216 272 306 324 408 432 459 612 648 816 918 1224 1296 1377 1836 2339 2448 2754 3672 4678 5508 7017 7344 9356 11016 14034 18712 21051 22032 28068 37424 39763 42102 56136 63153 79526 84204 112272 119289 126306 159052 168408 189459 238578 252612 318104 336816 357867 378918 477156 505224 636208 715734 757836 954312 1010448 1073601 1431468 1515672 1908624 2147202 2862936 3031344 3220803 4294404 5725872 6441606 8588808 12883212 17177616 25766424 51532848