Search a number
-
+
268468452 = 22337297523
BaseRepresentation
bin10000000000001…
…000000011100100
3200201011121111000
4100000020003210
51022211442302
642350113300
76436641600
oct2000100344
9621147430
10268468452
111285a835a
1275aab830
134380a995
1427926500
151888131c
hex100080e4

268468452 has 144 divisors (see below), whose sum is σ = 819577920. Its totient is φ = 75769344.

The previous prime is 268468441. The next prime is 268468481. The reversal of 268468452 is 254864862.

It is a junction number, because it is equal to n+sod(n) for n = 268468398 and 268468407.

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, 513063 + ... + 513585.

Almost surely, 2268468452 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 268468452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (409788960).

268468452 is an abundant number, since it is smaller than the sum of its proper divisors (551109468).

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

268468452 is a wasteful number, since it uses less digits than its factorization.

268468452 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 647 (or 632 counting only the distinct ones).

The product of its digits is 737280, while the sum is 45.

The square root of 268468452 is about 16385.0069270660. The cubic root of 268468452 is about 645.1060074548.

The spelling of 268468452 in words is "two hundred sixty-eight million, four hundred sixty-eight thousand, four hundred fifty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 49 54 63 84 97 98 108 126 147 189 194 196 252 291 294 378 388 441 523 582 588 679 756 873 882 1046 1164 1323 1358 1569 1746 1764 2037 2092 2619 2646 2716 3138 3492 3661 4074 4707 4753 5238 5292 6111 6276 7322 8148 9414 9506 10476 10983 12222 14121 14259 14644 18333 18828 19012 21966 24444 25627 28242 28518 32949 36666 42777 43932 50731 51254 56484 57036 65898 73332 76881 85554 98847 101462 102508 128331 131796 152193 153762 171108 197694 202924 230643 256662 304386 307524 355117 395388 456579 461286 513324 608772 691929 710234 913158 922572 1065351 1369737 1383858 1420468 1826316 2130702 2485819 2739474 2767716 3196053 4261404 4971638 5478948 6392106 7457457 9588159 9943276 12784212 14914914 19176318 22372371 29829828 38352636 44744742 67117113 89489484 134234226 268468452