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51346240 = 2651129503
BaseRepresentation
bin1100001111011…
…1101101000000
310120121122210121
43003313231000
5101121034430
65032310024
71162302331
oct303675500
9116548717
1051346240
1126a90210
1215242314
13a83a0ba
146b68288
154793a7a
hex30f7b40

51346240 has 112 divisors (see below), whose sum is σ = 138257280. Its totient is φ = 17991680.

The previous prime is 51346223. The next prime is 51346247. The reversal of 51346240 is 4264315.

51346240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51346247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 101829 + ... + 102331.

It is an arithmetic number, because the mean of its divisors is an integer number (1234440).

Almost surely, 251346240 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51346240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69128640).

51346240 is an abundant number, since it is smaller than the sum of its proper divisors (86911040).

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

51346240 is a wasteful number, since it uses less digits than its factorization.

51346240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 560 (or 550 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

The square root of 51346240 is about 7165.6290721750. The cubic root of 51346240 is about 371.6803049774.

The spelling of 51346240 in words is "fifty-one million, three hundred forty-six thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 29 32 40 44 55 58 64 80 88 110 116 145 160 176 220 232 290 319 320 352 440 464 503 580 638 704 880 928 1006 1160 1276 1595 1760 1856 2012 2320 2515 2552 3190 3520 4024 4640 5030 5104 5533 6380 8048 9280 10060 10208 11066 12760 14587 16096 20120 20416 22132 25520 27665 29174 32192 40240 44264 51040 55330 58348 72935 80480 88528 102080 110660 116696 145870 160457 160960 177056 221320 233392 291740 320914 354112 442640 466784 583480 641828 802285 885280 933568 1166960 1283656 1604570 1770560 2333920 2567312 3209140 4667840 5134624 6418280 10269248 12836560 25673120 51346240