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51374316 = 223731109181
BaseRepresentation
bin1100001111111…
…0100011101100
310120200002022110
43003332203230
5101122434231
65033044020
71162450230
oct303764354
9116602273
1051374316
1126aaa314
1215256610
13a849b06
146b745c0
15479c046
hex30fe8ec

51374316 has 96 divisors (see below), whose sum is σ = 143503360. Its totient is φ = 13996800.

The previous prime is 51374311. The next prime is 51374317. The reversal of 51374316 is 61347315.

51374316 is a nontrivial binomial coefficient, being equal to C(10137, 2).

It is not an unprimeable number, because it can be changed into a prime (51374311) 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, 283746 + ... + 283926.

Almost surely, 251374316 is an apocalyptic number.

51374316 is the 10136-th triangular number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51374316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71751680).

51374316 is an abundant number, since it is smaller than the sum of its proper divisors (92129044).

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

51374316 is a wasteful number, since it uses less digits than its factorization.

51374316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 335 (or 333 counting only the distinct ones).

The product of its digits is 7560, while the sum is 30.

The square root of 51374316 is about 7167.5878787776. The cubic root of 51374316 is about 371.7480372646.

It can be divided in two parts, 5137 and 4316, that added together give a triangular number (9453 = T137).

The spelling of 51374316 in words is "fifty-one million, three hundred seventy-four thousand, three hundred sixteen".

Divisors: 1 2 3 4 6 7 12 14 21 28 31 42 62 84 93 109 124 181 186 217 218 327 362 372 434 436 543 651 654 724 763 868 1086 1267 1302 1308 1526 2172 2289 2534 2604 3052 3379 3801 4578 5068 5611 6758 7602 9156 10137 11222 13516 15204 16833 19729 20274 22444 23653 33666 39277 39458 40548 47306 59187 67332 70959 78554 78916 94612 117831 118374 138103 141918 157108 235662 236748 276206 283836 414309 471324 552412 611599 828618 1223198 1657236 1834797 2446396 3669594 4281193 7339188 8562386 12843579 17124772 25687158 51374316