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4968414 = 23211231091
BaseRepresentation
bin10010111100111111011110
3100100102101100
4102330333132
52232442124
6254253530
760142113
oct22747736
910312340
104968414
112893930
1217b72a6
13104c5b9
1493490a
156821c9
hex4bcfde

4968414 has 48 divisors (see below), whose sum is σ = 12265344. Its totient is φ = 1438800.

The previous prime is 4968409. The next prime is 4968427. The reversal of 4968414 is 4148694.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4009 + ... + 5099.

It is an arithmetic number, because the mean of its divisors is an integer number (255528).

Almost surely, 24968414 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4968414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6132672).

4968414 is an abundant number, since it is smaller than the sum of its proper divisors (7296930).

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

4968414 is a wasteful number, since it uses less digits than its factorization.

4968414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1133 (or 1130 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 4968414 is about 2228.9939434642. The cubic root of 4968414 is about 170.6367584377.

The spelling of 4968414 in words is "four million, nine hundred sixty-eight thousand, four hundred fourteen".

Divisors: 1 2 3 6 9 11 18 22 23 33 46 66 69 99 138 198 207 253 414 506 759 1091 1518 2182 2277 3273 4554 6546 9819 12001 19638 24002 25093 36003 50186 72006 75279 108009 150558 216018 225837 276023 451674 552046 828069 1656138 2484207 4968414