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268512450 = 235217293631
BaseRepresentation
bin10000000000010…
…010110011000010
3200201020211211120
4100000102303002
51022214344300
642351053110
76440214063
oct2000226302
9621224746
10268512450
11128628418
1275b11196
1343824a0b
142793856a
151888e3a0
hex10012cc2

268512450 has 96 divisors (see below), whose sum is σ = 729596160. Its totient is φ = 65049600.

The previous prime is 268512401. The next prime is 268512463. The reversal of 268512450 is 54215862.

268512450 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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, 72135 + ... + 75765.

It is an arithmetic number, because the mean of its divisors is an integer number (7599960).

Almost surely, 2268512450 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 268512450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (364798080).

268512450 is an abundant number, since it is smaller than the sum of its proper divisors (461083710).

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

268512450 is a wasteful number, since it uses less digits than its factorization.

268512450 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3692 (or 3687 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 33.

The square root of 268512450 is about 16386.3495019483. The cubic root of 268512450 is about 645.1412466340.

The spelling of 268512450 in words is "two hundred sixty-eight million, five hundred twelve thousand, four hundred fifty".

Divisors: 1 2 3 5 6 10 15 17 25 29 30 34 50 51 58 75 85 87 102 145 150 170 174 255 290 425 435 493 510 725 850 870 986 1275 1450 1479 2175 2465 2550 2958 3631 4350 4930 7262 7395 10893 12325 14790 18155 21786 24650 36310 36975 54465 61727 73950 90775 105299 108930 123454 181550 185181 210598 272325 308635 315897 370362 526495 544650 617270 631794 925905 1052990 1543175 1579485 1790083 1851810 2632475 3086350 3158970 3580166 4629525 5264950 5370249 7897425 8950415 9259050 10740498 15794850 17900830 26851245 44752075 53702490 89504150 134256225 268512450