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668407488 = 26372112357
BaseRepresentation
bin100111110101110…
…001011011000000
31201120201121200220
4213311301123000
52332103014423
6150154143040
722364240610
oct4765613300
91646647626
10668407488
11313331491
12167a21a80
13a862a5b8
1464ab2a40
153da319e3
hex27d716c0

668407488 has 112 divisors (see below), whose sum is σ = 2031577344. Its totient is φ = 189987840.

The previous prime is 668407469. The next prime is 668407499. The reversal of 668407488 is 884704866.

668407488 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (112).

It is a self number, because there is not a number n which added to its sum of digits gives 668407488.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 282406 + ... + 284762.

Almost surely, 2668407488 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 668407488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1015788672).

668407488 is an abundant number, since it is smaller than the sum of its proper divisors (1363169856).

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

668407488 is a wasteful number, since it uses less digits than its factorization.

668407488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2590 (or 2580 counting only the distinct ones).

The product of its (nonzero) digits is 2064384, while the sum is 51.

The square root of 668407488 is about 25853.5778568460. The cubic root of 668407488 is about 874.3401776120.

It can be divided in two parts, 668 and 407488, that added together give a triangular number (408156 = T903).

The spelling of 668407488 in words is "six hundred sixty-eight million, four hundred seven thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 168 192 211 224 336 422 448 633 672 844 1266 1344 1477 1688 2357 2532 2954 3376 4431 4714 5064 5908 6752 7071 8862 9428 10128 11816 13504 14142 16499 17724 18856 20256 23632 28284 32998 35448 37712 40512 47264 49497 56568 65996 70896 75424 94528 98994 113136 131992 141792 150848 197988 226272 263984 283584 395976 452544 497327 527968 791952 994654 1055936 1491981 1583904 1989308 2983962 3167808 3481289 3978616 5967924 6962578 7957232 10443867 11935848 13925156 15914464 20887734 23871696 27850312 31828928 41775468 47743392 55700624 83550936 95486784 111401248 167101872 222802496 334203744 668407488