Search a number
-
+
268568472 = 23359241787
BaseRepresentation
bin10000000000100…
…000011110011000
3200201100200200110
4100000200132120
51022223142342
642352204320
76440536314
oct2000403630
9621320613
10268568472
11128666517
1275b396a0
1343844373
1427950b44
15188a0c9c
hex10020798

268568472 has 64 divisors (see below), whose sum is σ = 686505600. Its totient is φ = 87528960.

The previous prime is 268568441. The next prime is 268568473. The reversal of 268568472 is 274865862.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (268568473) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 340863 + ... + 341649.

It is an arithmetic number, because the mean of its divisors is an integer number (10726650).

Almost surely, 2268568472 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 268568472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (343252800).

268568472 is an abundant number, since it is smaller than the sum of its proper divisors (417937128).

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

268568472 is a wasteful number, since it uses less digits than its factorization.

268568472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1096 (or 1092 counting only the distinct ones).

The product of its digits is 1290240, while the sum is 48.

The square root of 268568472 is about 16388.0588234238. The cubic root of 268568472 is about 645.1861105868.

The spelling of 268568472 in words is "two hundred sixty-eight million, five hundred sixty-eight thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 24 59 118 177 236 241 354 472 482 708 723 787 964 1416 1446 1574 1928 2361 2892 3148 4722 5784 6296 9444 14219 18888 28438 42657 46433 56876 85314 92866 113752 139299 170628 185732 189667 278598 341256 371464 379334 557196 569001 758668 1114392 1138002 1517336 2276004 4552008 11190353 22380706 33571059 44761412 67142118 89522824 134284236 268568472