Search a number
-
+
668644984 = 23722237649
BaseRepresentation
bin100111110110101…
…011011001111000
31201121011200111001
4213312223121320
52332133114414
6150203214344
722366250200
oct4766533170
91647150431
10668644984
11313483967
12167b173b4
13a86b1727
1464b35400
153da7c074
hex27dab678

668644984 has 48 divisors (see below), whose sum is σ = 1465128000. Its totient is φ = 285239808.

The previous prime is 668644943. The next prime is 668645009. The reversal of 668644984 is 489446866.

It is a happy number.

It is a super-2 number, since 2×6686449842 = 894172229256720512, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 83592 + ... + 91240.

It is an arithmetic number, because the mean of its divisors is an integer number (30523500).

Almost surely, 2668644984 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 668644984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (732564000).

668644984 is an abundant number, since it is smaller than the sum of its proper divisors (796483016).

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

668644984 is a wasteful number, since it uses less digits than its factorization.

668644984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7892 (or 7881 counting only the distinct ones).

The product of its digits is 7962624, while the sum is 55.

The square root of 668644984 is about 25858.1705462703. The cubic root of 668644984 is about 874.4437210888.

The spelling of 668644984 in words is "six hundred sixty-eight million, six hundred forty-four thousand, nine hundred eighty-four".

Divisors: 1 2 4 7 8 14 28 49 56 98 196 223 392 446 892 1561 1784 3122 6244 7649 10927 12488 15298 21854 30596 43708 53543 61192 87416 107086 214172 374801 428344 749602 1499204 1705727 2998408 3411454 6822908 11940089 13645816 23880178 47760356 83580623 95520712 167161246 334322492 668644984