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268451931 = 31121938923
BaseRepresentation
bin10000000000000…
…100000001011011
3200201010202211010
4100000010001123
51022210430211
642345505003
76436542456
oct2000040133
9621122733
10268451931
11128596a00
1275aa2163
13438032c7
142792049d
151887b4a6
hex1000405b

268451931 has 24 divisors (see below), whose sum is σ = 414151360. Its totient is φ = 154131120.

The previous prime is 268451903. The next prime is 268451933. The reversal of 268451931 is 139154862.

It is not a de Polignac number, because 268451931 - 25 = 268451899 is a prime.

It is a super-2 number, since 2×2684519312 = 144132878515257522, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 268451931.

It is not an unprimeable number, because it can be changed into a prime (268451933) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12565 + ... + 26358.

Almost surely, 2268451931 is an apocalyptic number.

268451931 is a deficient number, since it is larger than the sum of its proper divisors (145699429).

268451931 is a wasteful number, since it uses less digits than its factorization.

268451931 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38967 (or 38956 counting only the distinct ones).

The product of its digits is 51840, while the sum is 39.

The square root of 268451931 is about 16384.5027693855. The cubic root of 268451931 is about 645.0927743481.

It can be divided in two parts, 2684 and 51931, that added together give a triangular number (54615 = T330).

The spelling of 268451931 in words is "two hundred sixty-eight million, four hundred fifty-one thousand, nine hundred thirty-one".

Divisors: 1 3 11 19 33 57 121 209 363 627 2299 6897 38923 116769 428153 739537 1284459 2218611 4709683 8134907 14129049 24404721 89483977 268451931