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390986688 = 26319710337
BaseRepresentation
bin10111010011011…
…111101111000000
31000020201011220110
4113103133233000
51300043033223
6102444111320
712455221611
oct2723375700
91006634813
10390986688
1119077a0a4
12aab35540
1363006b91
1439cd9c08
15244d2d93
hex174dfbc0

390986688 has 56 divisors (see below), whose sum is σ = 1039837392. Its totient is φ = 129654784.

The previous prime is 390986669. The next prime is 390986711. The reversal of 390986688 is 886689093.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 32656 + ... + 42992.

Almost surely, 2390986688 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 390986688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (519918696).

390986688 is an abundant number, since it is smaller than the sum of its proper divisors (648850704).

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

390986688 is a wasteful number, since it uses less digits than its factorization.

390986688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10549 (or 10539 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 57.

The square root of 390986688 is about 19773.3833220317. The cubic root of 390986688 is about 731.2299824749.

The spelling of 390986688 in words is "three hundred ninety million, nine hundred eighty-six thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 197 394 591 788 1182 1576 2364 3152 4728 6304 9456 10337 12608 18912 20674 31011 37824 41348 62022 82696 124044 165392 248088 330784 496176 661568 992352 1984704 2036389 4072778 6109167 8145556 12218334 16291112 24436668 32582224 48873336 65164448 97746672 130328896 195493344 390986688