Search a number
-
+
51985368 = 23331953239
BaseRepresentation
bin1100011001001…
…1101111011000
310121211010112000
43012103233120
5101302012433
65054121000
71200603561
oct306235730
9117733460
1051985368
1127387416
12154b0160
13aa01c96
146c93168
15486d113
hex3193bd8

51985368 has 128 divisors (see below), whose sum is σ = 155520000. Its totient is φ = 16039296.

The previous prime is 51985361. The next prime is 51985379. The reversal of 51985368 is 86358915.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51985361) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 217393 + ... + 217631.

It is an arithmetic number, because the mean of its divisors is an integer number (1215000).

Almost surely, 251985368 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 51985368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77760000).

51985368 is an abundant number, since it is smaller than the sum of its proper divisors (103534632).

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

51985368 is a wasteful number, since it uses less digits than its factorization.

51985368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 326 (or 316 counting only the distinct ones).

The product of its digits is 259200, while the sum is 45.

The square root of 51985368 is about 7210.0879328896. The cubic root of 51985368 is about 373.2161033570.

The spelling of 51985368 in words is "fifty-one million, nine hundred eighty-five thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 27 36 38 53 54 57 72 76 106 108 114 152 159 171 212 216 228 239 318 342 424 456 477 478 513 636 684 717 954 956 1007 1026 1272 1368 1431 1434 1908 1912 2014 2052 2151 2862 2868 3021 3816 4028 4104 4302 4541 5724 5736 6042 6453 8056 8604 9063 9082 11448 12084 12667 12906 13623 17208 18126 18164 24168 25334 25812 27189 27246 36252 36328 38001 40869 50668 51624 54378 54492 72504 76002 81738 101336 108756 108984 114003 122607 152004 163476 217512 228006 240673 245214 304008 326952 342009 456012 481346 490428 684018 722019 912024 962692 980856 1368036 1444038 1925384 2166057 2736072 2888076 4332114 5776152 6498171 8664228 12996342 17328456 25992684 51985368