Search a number
-
+
51128460 = 22325479593
BaseRepresentation
bin1100001100001…
…0100010001100
310120012121001200
43003002202030
5101042102320
65023505500
71160404365
oct303024214
9116177050
1051128460
1126951629
1215158290
13a791c36
146b0cb6c
15474e290
hex30c288c

51128460 has 72 divisors (see below), whose sum is σ = 155675520. Its totient is φ = 13582848.

The previous prime is 51128447. The next prime is 51128461. The reversal of 51128460 is 6482115.

It is a super-2 number, since 2×511284602 = 5228238843943200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (51128461) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 85924 + ... + 86516.

It is an arithmetic number, because the mean of its divisors is an integer number (2162160).

Almost surely, 251128460 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 51128460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77837760).

51128460 is an abundant number, since it is smaller than the sum of its proper divisors (104547060).

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

51128460 is a wasteful number, since it uses less digits than its factorization.

51128460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1087 (or 1082 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 51128460 is about 7150.4167710701. The cubic root of 51128460 is about 371.1540785413.

The spelling of 51128460 in words is "fifty-one million, one hundred twenty-eight thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 479 593 958 1186 1437 1779 1916 2372 2395 2874 2965 3558 4311 4790 5337 5748 5930 7116 7185 8622 8895 9580 10674 11860 14370 17244 17790 21348 21555 26685 28740 35580 43110 53370 86220 106740 284047 568094 852141 1136188 1420235 1704282 2556423 2840470 3408564 4260705 5112846 5680940 8521410 10225692 12782115 17042820 25564230 51128460