Search a number
-
+
51127728 = 24347131173
BaseRepresentation
bin1100001100001…
…0010110110000
310120012120001120
43003002112300
5101042041403
65023502240
71160402301
oct303022660
9116176046
1051127728
1126951023
1215157980
13a7917c2
146b0c7a8
15474de53
hex30c25b0

51127728 has 80 divisors (see below), whose sum is σ = 136705536. Its totient is φ = 16456960.

The previous prime is 51127709. The next prime is 51127733. The reversal of 51127728 is 82772115.

It is a super-2 number, since 2×511277282 = 5228089140883968, which contains 22 as substring.

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, 295450 + ... + 295622.

Almost surely, 251127728 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 51127728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68352768).

51127728 is an abundant number, since it is smaller than the sum of its proper divisors (85577808).

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

51127728 is a wasteful number, since it uses less digits than its factorization.

51127728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 362 (or 356 counting only the distinct ones).

The product of its digits is 7840, while the sum is 33.

The square root of 51127728 is about 7150.3655850593. The cubic root of 51127728 is about 371.1523072768.

The spelling of 51127728 in words is "fifty-one million, one hundred twenty-seven thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 47 48 94 131 141 173 188 262 282 346 376 393 519 524 564 692 752 786 1038 1048 1128 1384 1572 2076 2096 2256 2768 3144 4152 6157 6288 8131 8304 12314 16262 18471 22663 24393 24628 32524 36942 45326 48786 49256 65048 67989 73884 90652 97572 98512 130096 135978 147768 181304 195144 271956 295536 362608 390288 543912 1065161 1087824 2130322 3195483 4260644 6390966 8521288 12781932 17042576 25563864 51127728