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51944382 = 23371311049
BaseRepresentation
bin1100011000100…
…1101110111110
310121202001022000
43012021232332
5101244210012
65053203130
71200343230
oct306115676
9117661260
1051944382
1127359646
12154904a6
13a9b9429
146c82250
154860ddc
hex3189bbe

51944382 has 64 divisors (see below), whose sum is σ = 133056000. Its totient is φ = 14713920.

The previous prime is 51944377. The next prime is 51944383. The reversal of 51944382 is 28344915.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51944383) 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, 48994 + ... + 50042.

It is an arithmetic number, because the mean of its divisors is an integer number (2079000).

Almost surely, 251944382 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51944382, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66528000).

51944382 is an abundant number, since it is smaller than the sum of its proper divisors (81111618).

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

51944382 is a wasteful number, since it uses less digits than its factorization.

51944382 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1198 (or 1192 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 51944382 is about 7207.2451047540. The cubic root of 51944382 is about 373.1179946161.

It can be divided in two parts, 51944 and 382, that added together give a triangular number (52326 = T323).

The spelling of 51944382 in words is "fifty-one million, nine hundred forty-four thousand, three hundred eighty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 126 131 189 262 378 393 786 917 1049 1179 1834 2098 2358 2751 3147 3537 5502 6294 7074 7343 8253 9441 14686 16506 18882 22029 24759 28323 44058 49518 56646 66087 132174 137419 198261 274838 396522 412257 824514 961933 1236771 1923866 2473542 2885799 3710313 5771598 7420626 8657397 17314794 25972191 51944382