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667474672 = 241729372287
BaseRepresentation
bin100111110010001…
…101101011110000
31201111222020010011
4213302031223300
52331333142142
6150122144304
722353304204
oct4762155360
91644866104
10667474672
11312854667
12167652094
13a8391b37
146490cb04
153d8ea417
hex27c8daf0

667474672 has 80 divisors (see below), whose sum is σ = 1455442560. Its totient is φ = 294948864.

The previous prime is 667474649. The next prime is 667474679. The reversal of 667474672 is 276474766.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (667474679) 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, 290713 + ... + 292999.

It is an arithmetic number, because the mean of its divisors is an integer number (18193032).

Almost surely, 2667474672 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 667474672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (727721280).

667474672 is an abundant number, since it is smaller than the sum of its proper divisors (787967888).

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

667474672 is a wasteful number, since it uses less digits than its factorization.

667474672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2378 (or 2372 counting only the distinct ones).

The product of its digits is 2370816, while the sum is 49.

The square root of 667474672 is about 25835.5311925263. The cubic root of 667474672 is about 873.9332510853.

The spelling of 667474672 in words is "six hundred sixty-seven million, four hundred seventy-four thousand, six hundred seventy-two".

Divisors: 1 2 4 8 16 17 29 34 37 58 68 74 116 136 148 232 272 296 464 493 592 629 986 1073 1258 1972 2146 2287 2516 3944 4292 4574 5032 7888 8584 9148 10064 17168 18241 18296 36482 36592 38879 66323 72964 77758 84619 132646 145928 155516 169238 265292 291856 311032 338476 530584 622064 676952 1061168 1127491 1353904 1438523 2254982 2453951 2877046 4509964 4907902 5754092 9019928 9815804 11508184 18039856 19631608 23016368 39263216 41717167 83434334 166868668 333737336 667474672