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51738030 = 23252943461
BaseRepresentation
bin1100010101011…
…1010110101110
310121100120020100
43011113112232
5101221104110
65044531530
71165523511
oct305272656
9117316210
1051738030
1127228603
12153b0ba6
13a946526
146c2ad78
15481ebc0
hex31575ae

51738030 has 96 divisors (see below), whose sum is σ = 142702560. Its totient is φ = 12983040.

The previous prime is 51737999. The next prime is 51738053. The reversal of 51738030 is 3083715.

It is a junction number, because it is equal to n+sod(n) for n = 51737985 and 51738003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 112000 + ... + 112460.

It is an arithmetic number, because the mean of its divisors is an integer number (1486485).

Almost surely, 251738030 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51738030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71351280).

51738030 is an abundant number, since it is smaller than the sum of its proper divisors (90964530).

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

51738030 is a wasteful number, since it uses less digits than its factorization.

51738030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 546 (or 543 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 51738030 is about 7192.9152643417. The cubic root of 51738030 is about 372.6232614615.

It can be divided in two parts, 5173 and 8030, that added together give a triangular number (13203 = T162).

The spelling of 51738030 in words is "fifty-one million, seven hundred thirty-eight thousand, thirty".

Divisors: 1 2 3 5 6 9 10 15 18 29 30 43 45 58 86 87 90 129 145 174 215 258 261 290 387 430 435 461 522 645 774 870 922 1247 1290 1305 1383 1935 2305 2494 2610 2766 3741 3870 4149 4610 6235 6915 7482 8298 11223 12470 13369 13830 18705 19823 20745 22446 26738 37410 39646 40107 41490 56115 59469 66845 80214 99115 112230 118938 120321 133690 178407 198230 200535 240642 297345 356814 401070 574867 594690 601605 892035 1149734 1203210 1724601 1784070 2874335 3449202 5173803 5748670 8623005 10347606 17246010 25869015 51738030