Search a number
-
+
268526832 = 24371753887
BaseRepresentation
bin10000000000010…
…110010011110000
3200201021120120020
4100000112103300
51022220324312
642351243440
76440304030
oct2000262360
9621246506
10268526832
11128638202
1275b19580
134382b422
142793d8c0
151889378c
hex100164f0

268526832 has 160 divisors (see below), whose sum is σ = 856230912. Its totient is φ = 70766592.

The previous prime is 268526831. The next prime is 268526857. The reversal of 268526832 is 238625862.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (268526831) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 302293 + ... + 303179.

Almost surely, 2268526832 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 268526832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (428115456).

268526832 is an abundant number, since it is smaller than the sum of its proper divisors (587704080).

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

268526832 is a wasteful number, since it uses less digits than its factorization.

268526832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 975 (or 969 counting only the distinct ones).

The product of its digits is 276480, while the sum is 42.

The square root of 268526832 is about 16386.7883369500. The cubic root of 268526832 is about 645.1527647291.

The spelling of 268526832 in words is "two hundred sixty-eight million, five hundred twenty-six thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 17 21 24 28 34 42 48 51 53 56 68 84 102 106 112 119 136 159 168 204 212 238 272 318 336 357 371 408 424 476 636 714 742 816 848 887 901 952 1113 1272 1428 1484 1774 1802 1904 2226 2544 2661 2703 2856 2968 3548 3604 4452 5322 5406 5712 5936 6209 6307 7096 7208 8904 10644 10812 12418 12614 14192 14416 15079 17808 18627 18921 21288 21624 24836 25228 30158 37254 37842 42576 43248 45237 47011 49672 50456 60316 74508 75684 90474 94022 99344 100912 105553 120632 141033 149016 151368 180948 188044 211106 241264 282066 298032 302736 316659 329077 361896 376088 422212 564132 633318 658154 723792 752176 799187 844424 987231 1128264 1266636 1316308 1598374 1688848 1974462 2256528 2397561 2533272 2632616 3196748 3948924 4795122 5066544 5265232 5594309 6393496 7897848 9590244 11188618 12786992 15795696 16782927 19180488 22377236 33565854 38360976 44754472 67131708 89508944 134263416 268526832