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668578456 = 237133724821
BaseRepresentation
bin100111110110011…
…011001010011000
31201121001022020001
4213312123022120
52332124002311
6150201542344
722365552220
oct4766331230
91647038201
10668578456
11313438987
12167aa49b4
13a868a370
1464b19080
153da674c1
hex27d9b298

668578456 has 64 divisors (see below), whose sum is σ = 1584636480. Its totient is φ = 257333760.

The previous prime is 668578453. The next prime is 668578481. The reversal of 668578456 is 654875866.

It is a junction number, because it is equal to n+sod(n) for n = 668578397 and 668578406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (668578451) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14526 + ... + 39346.

It is an arithmetic number, because the mean of its divisors is an integer number (24759945).

Almost surely, 2668578456 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 668578456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (792318240).

668578456 is an abundant number, since it is smaller than the sum of its proper divisors (916058024).

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

668578456 is a wasteful number, since it uses less digits than its factorization.

668578456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24884 (or 24880 counting only the distinct ones).

The product of its digits is 9676800, while the sum is 55.

The square root of 668578456 is about 25856.8841123597. The cubic root of 668578456 is about 874.4147186920.

The spelling of 668578456 in words is "six hundred sixty-eight million, five hundred seventy-eight thousand, four hundred fifty-six".

Divisors: 1 2 4 7 8 13 14 26 28 37 52 56 74 91 104 148 182 259 296 364 481 518 728 962 1036 1924 2072 3367 3848 6734 13468 24821 26936 49642 99284 173747 198568 322673 347494 645346 694988 918377 1290692 1389976 1836754 2258711 2581384 3673508 4517422 6428639 7347016 9034844 11938901 12857278 18069688 23877802 25714556 47755604 51429112 83572307 95511208 167144614 334289228 668578456