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268848741 = 3721828903
BaseRepresentation
bin10000000001100…
…100111001100101
3200201212221010210
4100001210321211
51022311124431
642402210033
76443114400
oct2001447145
9621787123
10268848741
11128838047
1276053919
1343911ac5
14279c4d37
1518908d46
hex10064e65

268848741 has 12 divisors (see below), whose sum is σ = 416990112. Its totient is φ = 153627768.

The previous prime is 268848739. The next prime is 268848743. The reversal of 268848741 is 147848862.

It is an interprime number because it is at equal distance from previous prime (268848739) and next prime (268848743).

It is not a de Polignac number, because 268848741 - 21 = 268848739 is a prime.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (268848743) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 914305 + ... + 914598.

It is an arithmetic number, because the mean of its divisors is an integer number (34749176).

Almost surely, 2268848741 is an apocalyptic number.

268848741 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

268848741 is a deficient number, since it is larger than the sum of its proper divisors (148141371).

268848741 is a wasteful number, since it uses less digits than its factorization.

268848741 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1828920 (or 1828913 counting only the distinct ones).

The product of its digits is 688128, while the sum is 48.

The square root of 268848741 is about 16396.6076064532. The cubic root of 268848741 is about 645.4104640511.

The spelling of 268848741 in words is "two hundred sixty-eight million, eight hundred forty-eight thousand, seven hundred forty-one".

Divisors: 1 3 7 21 49 147 1828903 5486709 12802321 38406963 89616247 268848741