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268526472 = 233232272143
BaseRepresentation
bin10000000000010…
…110001110001000
3200201021120001220
4100000112032020
51022220321342
642351242040
76440303004
oct2000261610
9621246056
10268526472
11128637a05
1275b19320
134382b206
142793d704
15188935ec
hex10016388

268526472 has 64 divisors (see below), whose sum is σ = 703918080. Its totient is φ = 85200192.

The previous prime is 268526437. The next prime is 268526477. The reversal of 268526472 is 274625862.

It is not an unprimeable number, because it can be changed into a prime (268526477) 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, 124233 + ... + 126375.

It is an arithmetic number, because the mean of its divisors is an integer number (10998720).

Almost surely, 2268526472 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 268526472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (351959040).

268526472 is an abundant number, since it is smaller than the sum of its proper divisors (435391608).

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

268526472 is a wasteful number, since it uses less digits than its factorization.

268526472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2402 (or 2398 counting only the distinct ones).

The product of its digits is 322560, while the sum is 42.

The square root of 268526472 is about 16386.7773524876. Note that the first 3 decimals coincide. The cubic root of 268526472 is about 645.1524764213.

The spelling of 268526472 in words is "two hundred sixty-eight million, five hundred twenty-six thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 23 24 46 69 92 138 184 227 276 454 552 681 908 1362 1816 2143 2724 4286 5221 5448 6429 8572 10442 12858 15663 17144 20884 25716 31326 41768 49289 51432 62652 98578 125304 147867 197156 295734 394312 486461 591468 972922 1182936 1459383 1945844 2918766 3891688 5837532 11188603 11675064 22377206 33565809 44754412 67131618 89508824 134263236 268526472