Search a number
-
+
268856384 = 2619239613
BaseRepresentation
bin10000000001100…
…110110001000000
3200201220022121212
4100001212301000
51022311401014
642402305252
76443145566
oct2001466100
9621808555
10268856384
11128842865
1276058228
1343915424
14279c7a36
151890b23e
hex10066c40

268856384 has 56 divisors (see below), whose sum is σ = 586069440. Its totient is φ = 121803264.

The previous prime is 268856383. The next prime is 268856387. The reversal of 268856384 is 483658862.

It is not an unprimeable number, because it can be changed into a prime (268856381) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23162 + ... + 32774.

Almost surely, 2268856384 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 268856384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293034720).

268856384 is an abundant number, since it is smaller than the sum of its proper divisors (317213056).

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

268856384 is a wasteful number, since it uses less digits than its factorization.

268856384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9667 (or 9657 counting only the distinct ones).

The product of its digits is 2211840, while the sum is 50.

The square root of 268856384 is about 16396.8406713001. The cubic root of 268856384 is about 645.4165800372.

The spelling of 268856384 in words is "two hundred sixty-eight million, eight hundred fifty-six thousand, three hundred eighty-four".

Divisors: 1 2 4 8 16 19 23 32 38 46 64 76 92 152 184 304 368 437 608 736 874 1216 1472 1748 3496 6992 9613 13984 19226 27968 38452 76904 153808 182647 221099 307616 365294 442198 615232 730588 884396 1461176 1768792 2922352 3537584 4200881 5844704 7075168 8401762 11689408 14150336 16803524 33607048 67214096 134428192 268856384