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51838332 = 223713371283
BaseRepresentation
bin1100010110111…
…1110101111100
310121112122211020
43011233311330
5101232311312
65051024140
71166422110
oct305576574
9117478736
1051838332
11272969a7
121543b050
13a980090
146c55740
15483e78c
hex316fd7c

51838332 has 96 divisors (see below), whose sum is σ = 153011712. Its totient is φ = 13291776.

The previous prime is 51838331. The next prime is 51838333. The reversal of 51838332 is 23383815.

It is an interprime number because it is at equal distance from previous prime (51838331) and next prime (51838333).

It is a super-3 number, since 3×518383323 (a number of 24 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 51838293 and 51838302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51838331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 39763 + ... + 41045.

It is an arithmetic number, because the mean of its divisors is an integer number (1593872).

Almost surely, 251838332 is an apocalyptic number.

51838332 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51838332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76505856).

51838332 is an abundant number, since it is smaller than the sum of its proper divisors (101173380).

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

51838332 is a wasteful number, since it uses less digits than its factorization.

51838332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1347 (or 1345 counting only the distinct ones).

The product of its digits is 17280, while the sum is 33.

The square root of 51838332 is about 7199.8841657349. The cubic root of 51838332 is about 372.8639015483.

The spelling of 51838332 in words is "fifty-one million, eight hundred thirty-eight thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 37 39 42 52 74 78 84 91 111 148 156 182 222 259 273 364 444 481 518 546 777 962 1036 1092 1283 1443 1554 1924 2566 2886 3108 3367 3849 5132 5772 6734 7698 8981 10101 13468 15396 16679 17962 20202 26943 33358 35924 40404 47471 50037 53886 66716 94942 100074 107772 116753 142413 189884 200148 233506 284826 332297 350259 467012 569652 617123 664594 700518 996891 1234246 1329188 1401036 1851369 1993782 2468492 3702738 3987564 4319861 7405476 8639722 12959583 17279444 25919166 51838332