Search a number
-
+
268626408 = 23319312613
BaseRepresentation
bin10000000000101…
…110100111101000
3200201110122011020
4100000232213220
51022232021113
642353332440
76441200241
oct2000564750
9621418136
10268626408
111286a5aa6
1275b67120
134386484b
1427967cc8
15188b3023
hex1002e9e8

268626408 has 96 divisors (see below), whose sum is σ = 731642400. Its totient is φ = 81959040.

The previous prime is 268626343. The next prime is 268626443. The reversal of 268626408 is 804626862.

It is a self number, because there is not a number n which added to its sum of digits gives 268626408.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 437910 + ... + 438522.

It is an arithmetic number, because the mean of its divisors is an integer number (7621275).

Almost surely, 2268626408 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 268626408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (365821200).

268626408 is an abundant number, since it is smaller than the sum of its proper divisors (463015992).

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

268626408 is a wasteful number, since it uses less digits than its factorization.

268626408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 703 (or 668 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 42.

The square root of 268626408 is about 16389.8263566153. The cubic root of 268626408 is about 645.2325007615.

The spelling of 268626408 in words is "two hundred sixty-eight million, six hundred twenty-six thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 12 19 24 31 38 57 62 76 93 114 124 152 186 228 248 372 456 589 613 744 961 1178 1226 1767 1839 1922 2356 2452 2883 3534 3678 3844 4712 4904 5766 7068 7356 7688 11532 11647 14136 14712 18259 19003 23064 23294 34941 36518 38006 46588 54777 57009 69882 73036 76012 93176 109554 114018 139764 146072 152024 219108 228036 279528 361057 438216 456072 589093 722114 1083171 1178186 1444228 1767279 2166342 2356372 2888456 3534558 4332684 4712744 7069116 8665368 11192767 14138232 22385534 33578301 44771068 67156602 89542136 134313204 268626408