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268274538 = 23374571553
BaseRepresentation
bin11111111110110…
…00101101101010
3200200210202111000
433333120231222
51022134241123
642342015430
76435203340
oct1777305552
9620722430
10268274538
111284856a4
1275a17576
134377063c
14278b5990
1518843b43
hexffd8b6a

268274538 has 64 divisors (see below), whose sum is σ = 683262720. Its totient is φ = 76432896.

The previous prime is 268274537. The next prime is 268274551. The reversal of 268274538 is 835472862.

It is a super-2 number, since 2×2682745382 = 143942455478226888, which contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 268274493 and 268274502.

It is not an unprimeable number, because it can be changed into a prime (268274533) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 171970 + ... + 173522.

It is an arithmetic number, because the mean of its divisors is an integer number (10675980).

Almost surely, 2268274538 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 268274538, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (341631360).

268274538 is an abundant number, since it is smaller than the sum of its proper divisors (414988182).

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

268274538 is a wasteful number, since it uses less digits than its factorization.

268274538 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2028 (or 2022 counting only the distinct ones).

The product of its digits is 645120, while the sum is 45.

The square root of 268274538 is about 16379.0884361737. The cubic root of 268274538 is about 644.9506506321.

The spelling of 268274538 in words is "two hundred sixty-eight million, two hundred seventy-four thousand, five hundred thirty-eight".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 126 189 378 457 914 1371 1553 2742 3106 3199 4113 4659 6398 8226 9318 9597 10871 12339 13977 19194 21742 24678 27954 28791 32613 41931 57582 65226 83862 86373 97839 172746 195678 293517 587034 709721 1419442 2129163 4258326 4968047 6387489 9936094 12774978 14904141 19162467 29808282 38324934 44712423 89424846 134137269 268274538