Search a number
-
+
51966320 = 2457711307
BaseRepresentation
bin1100011000111…
…1000101110000
310121210011101112
43012033011300
5101300410240
65053452452
71200464210
oct306170560
9117704345
1051966320
112737407a
12154a1128
13a9c6403
146c8a240
154867665
hex318f170

51966320 has 80 divisors (see below), whose sum is σ = 140133888. Its totient is φ = 17552640.

The previous prime is 51966319. The next prime is 51966337. The reversal of 51966320 is 2366915.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39107 + ... + 40413.

Almost surely, 251966320 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 51966320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70066944).

51966320 is an abundant number, since it is smaller than the sum of its proper divisors (88167568).

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

51966320 is a wasteful number, since it uses less digits than its factorization.

51966320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1398 (or 1392 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 32.

The square root of 51966320 is about 7208.7668848424. The cubic root of 51966320 is about 373.1705143188.

The spelling of 51966320 in words is "fifty-one million, nine hundred sixty-six thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 71 80 112 140 142 280 284 355 497 560 568 710 994 1136 1307 1420 1988 2485 2614 2840 3976 4970 5228 5680 6535 7952 9149 9940 10456 13070 18298 19880 20912 26140 36596 39760 45745 52280 73192 91490 92797 104560 146384 182980 185594 365960 371188 463985 649579 731920 742376 927970 1299158 1484752 1855940 2598316 3247895 3711880 5196632 6495790 7423760 10393264 12991580 25983160 51966320