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668249456 = 247219113397
BaseRepresentation
bin100111110101001…
…010110101110000
31201120102120220212
4213311022311300
52332032440311
6150150523252
722363012100
oct4765126560
91646376825
10668249456
11313233786
12167966528
13a85a36a4
1464a71200
153d9eec8b
hex27d4ad70

668249456 has 120 divisors (see below), whose sum is σ = 1603446480. Its totient is φ = 268240896.

The previous prime is 668249441. The next prime is 668249459. The reversal of 668249456 is 654942866.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (668249459) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1683050 + ... + 1683446.

It is an arithmetic number, because the mean of its divisors is an integer number (13362054).

Almost surely, 2668249456 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 668249456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (801723240).

668249456 is an abundant number, since it is smaller than the sum of its proper divisors (935197024).

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

668249456 is a wasteful number, since it uses less digits than its factorization.

668249456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 551 (or 538 counting only the distinct ones).

The product of its digits is 2488320, while the sum is 50.

The square root of 668249456 is about 25850.5213873918. The cubic root of 668249456 is about 874.2712652492.

The spelling of 668249456 in words is "six hundred sixty-eight million, two hundred forty-nine thousand, four hundred fifty-six".

Divisors: 1 2 4 7 8 14 16 19 28 38 49 56 76 98 112 113 133 152 196 226 266 304 392 397 452 532 784 791 794 904 931 1064 1582 1588 1808 1862 2128 2147 2779 3164 3176 3724 4294 5537 5558 6328 6352 7448 7543 8588 11074 11116 12656 14896 15029 15086 17176 19453 22148 22232 30058 30172 34352 38906 44296 44464 44861 52801 60116 60344 77812 88592 89722 105203 105602 120232 120688 155624 179444 210406 211204 240464 311248 314027 358888 369607 420812 422408 628054 717776 739214 841624 844816 852359 1256108 1478428 1683248 1704718 2198189 2512216 2956856 3409436 4396378 5024432 5913712 5966513 6818872 8792756 11933026 13637744 17585512 23866052 35171024 41765591 47732104 83531182 95464208 167062364 334124728 668249456