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949459868 = 2272191371861
BaseRepresentation
bin111000100101111…
…001101110011100
32110011120120002022
4320211321232130
53421030203433
6234114115312
732346163400
oct7045715634
92404516068
10949459868
11447a44285
12225b7bb38
13121922c96
1490153100
155854b698
hex38979b9c

949459868 has 72 divisors (see below), whose sum is σ = 2050508880. Its totient is φ = 382475520.

The previous prime is 949459859. The next prime is 949459891. The reversal of 949459868 is 868954949.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 949459868.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 509258 + ... + 511118.

It is an arithmetic number, because the mean of its divisors is an integer number (28479290).

Almost surely, 2949459868 is an apocalyptic number.

949459868 is a gapful number since it is divisible by the number (98) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 949459868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1025254440).

949459868 is an abundant number, since it is smaller than the sum of its proper divisors (1101049012).

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

949459868 is a wasteful number, since it uses less digits than its factorization.

949459868 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2035 (or 2026 counting only the distinct ones).

The product of its digits is 22394880, while the sum is 62.

The square root of 949459868 is about 30813.3066709823. The cubic root of 949459868 is about 982.8612299955.

The spelling of 949459868 in words is "nine hundred forty-nine million, four hundred fifty-nine thousand, eight hundred sixty-eight".

Divisors: 1 2 4 7 14 19 28 38 49 76 98 133 137 196 266 274 532 548 931 959 1861 1862 1918 2603 3722 3724 3836 5206 6713 7444 10412 13027 13426 18221 26054 26852 35359 36442 52108 70718 72884 91189 127547 141436 182378 247513 254957 255094 364756 495026 509914 510188 990052 1019828 1732591 1784699 3465182 3569398 4844183 6930364 7138796 9688366 12492893 19376732 24985786 33909281 49971572 67818562 135637124 237364967 474729934 949459868