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670673952 = 25331329271
BaseRepresentation
bin100111111110011…
…010110000100000
31201201222202201000
4213332122300200
52333143031302
6150314512000
722422430434
oct4776326040
91651882630
10670673952
1131463a2a3
12168735600
13a8c420c0
14651029c4
153dd2d31c
hex27f9ac20

670673952 has 288 divisors, whose sum is σ = 2212479360. Its totient is φ = 196439040.

The previous prime is 670673873. The next prime is 670673977. The reversal of 670673952 is 259376076.

670673952 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 (288).

It is a junction number, because it is equal to n+sod(n) for n = 670673898 and 670673907.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9446077 + ... + 9446147.

It is an arithmetic number, because the mean of its divisors is an integer number (7682220).

Almost surely, 2670673952 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 670673952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1106239680).

670673952 is an abundant number, since it is smaller than the sum of its proper divisors (1541805408).

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

670673952 is a wasteful number, since it uses less digits than its factorization.

670673952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 476280, while the sum is 45.

The square root of 670673952 is about 25897.3734575536. The cubic root of 670673952 is about 875.3273124309.

The spelling of 670673952 in words is "six hundred seventy million, six hundred seventy-three thousand, nine hundred fifty-two".