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51808512 = 283723419
BaseRepresentation
bin1100010110100…
…0100100000000
310121111010220210
43011220210000
5101230333022
65050234120
71166236140
oct305504400
9117433823
1051808512
1127276558
1215425940
13a96c632
146c48920
154835a0c
hex3168900

51808512 has 144 divisors (see below), whose sum is σ = 164828160. Its totient is φ = 14125056.

The previous prime is 51808511. The next prime is 51808531. The reversal of 51808512 is 21580815.

It is a self number, because there is not a number n which added to its sum of digits gives 51808512.

It is not an unprimeable number, because it can be changed into a prime (51808511) 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, 123439 + ... + 123857.

It is an arithmetic number, because the mean of its divisors is an integer number (1144640).

Almost surely, 251808512 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 51808512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82414080).

51808512 is an abundant number, since it is smaller than the sum of its proper divisors (113019648).

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

51808512 is a wasteful number, since it uses less digits than its factorization.

51808512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 468 (or 454 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 30.

The square root of 51808512 is about 7197.8130011831. The cubic root of 51808512 is about 372.7923911824.

The spelling of 51808512 in words is "fifty-one million, eight hundred eight thousand, five hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 23 24 28 32 42 46 48 56 64 69 84 92 96 112 128 138 161 168 184 192 224 256 276 322 336 368 384 419 448 483 552 644 672 736 768 838 896 966 1104 1257 1288 1344 1472 1676 1792 1932 2208 2514 2576 2688 2933 2944 3352 3864 4416 5028 5152 5376 5866 5888 6704 7728 8799 8832 9637 10056 10304 11732 13408 15456 17598 17664 19274 20112 20608 23464 26816 28911 30912 35196 38548 40224 41216 46928 53632 57822 61824 67459 70392 77096 80448 93856 107264 115644 123648 134918 140784 154192 160896 187712 202377 231288 269836 281568 308384 321792 375424 404754 462576 539672 563136 616768 750848 809508 925152 1079344 1126272 1233536 1619016 1850304 2158688 2252544 2467072 3238032 3700608 4317376 6476064 7401216 8634752 12952128 17269504 25904256 51808512