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51142806 = 233111337179
BaseRepresentation
bin1100001100011…
…0000010010110
310120020022202000
43003012002112
5101043032211
65024100130
71160464251
oct303060226
9116208660
1051142806
1126961390
1215164646
13a798620
146b14098
154753656
hex30c6096

51142806 has 128 divisors (see below), whose sum is σ = 137894400. Its totient is φ = 13841280.

The previous prime is 51142789. The next prime is 51142829. The reversal of 51142806 is 60824115.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 51142806.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 285625 + ... + 285803.

It is an arithmetic number, because the mean of its divisors is an integer number (1077300).

Almost surely, 251142806 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51142806, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68947200).

51142806 is an abundant number, since it is smaller than the sum of its proper divisors (86751594).

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

51142806 is a wasteful number, since it uses less digits than its factorization.

51142806 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251 (or 245 counting only the distinct ones).

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

The square root of 51142806 is about 7151.4198590210. The cubic root of 51142806 is about 371.1887890103.

The spelling of 51142806 in words is "fifty-one million, one hundred forty-two thousand, eight hundred six".

Divisors: 1 2 3 6 9 11 13 18 22 26 27 33 37 39 54 66 74 78 99 111 117 143 179 198 222 234 286 297 333 351 358 407 429 481 537 594 666 702 814 858 962 999 1074 1221 1287 1443 1611 1969 1998 2327 2442 2574 2886 3222 3663 3861 3938 4329 4654 4833 5291 5907 6623 6981 7326 7722 8658 9666 10582 10989 11814 12987 13246 13962 15873 17721 19869 20943 21978 25597 25974 31746 35442 39738 41886 47619 51194 53163 59607 62829 72853 76791 86099 95238 106326 119214 125658 142857 145706 153582 172198 178821 218559 230373 258297 285714 357642 437118 460746 516594 655677 691119 774891 947089 1311354 1382238 1549782 1894178 1967031 2324673 2841267 3934062 4649346 5682534 8523801 17047602 25571403 51142806