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38398668 = 223711291433
BaseRepresentation
bin1001001001111…
…0101011001100
32200020212001220
42102132223030
534312224133
63451003340
7644245320
oct222365314
980225056
1038398668
111a747540
1210a39550
137c55a09
145157980
1535875b3
hex249eacc

38398668 has 96 divisors (see below), whose sum is σ = 115637760. Its totient is φ = 9623040.

The previous prime is 38398667. The next prime is 38398681. The reversal of 38398668 is 86689383.

38398668 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 38398668.

It is not an unprimeable number, because it can be changed into a prime (38398667) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26080 + ... + 27512.

It is an arithmetic number, because the mean of its divisors is an integer number (1204560).

Almost surely, 238398668 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 38398668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57818880).

38398668 is an abundant number, since it is smaller than the sum of its proper divisors (77239092).

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

38398668 is a wasteful number, since it uses less digits than its factorization.

38398668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1487 (or 1485 counting only the distinct ones).

The product of its digits is 1492992, while the sum is 51.

The square root of 38398668 is about 6196.6658777120. The cubic root of 38398668 is about 337.3691651995.

The spelling of 38398668 in words is "thirty-eight million, three hundred ninety-eight thousand, six hundred sixty-eight".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 29 33 42 44 58 66 77 84 87 116 132 154 174 203 231 308 319 348 406 462 609 638 812 924 957 1218 1276 1433 1914 2233 2436 2866 3828 4299 4466 5732 6699 8598 8932 10031 13398 15763 17196 20062 26796 30093 31526 40124 41557 47289 60186 63052 83114 94578 110341 120372 124671 166228 189156 220682 249342 290899 331023 441364 457127 498684 581798 662046 872697 914254 1163596 1324092 1371381 1745394 1828508 2742762 3199889 3490788 5485524 6399778 9599667 12799556 19199334 38398668