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6390888 = 2337109349
BaseRepresentation
bin11000011000010001101000
3110000200122120
4120120101220
53114002023
6344551240
7105215220
oct30302150
913020576
106390888
113675629
122182520
131429bba
14bc5080
158638e3
hex618468

6390888 has 64 divisors (see below), whose sum is σ = 18480000. Its totient is φ = 1804032.

The previous prime is 6390887. The next prime is 6390893. The reversal of 6390888 is 8880936.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6390883) 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, 18138 + ... + 18486.

It is an arithmetic number, because the mean of its divisors is an integer number (288750).

Almost surely, 26390888 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 6390888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9240000).

6390888 is an abundant number, since it is smaller than the sum of its proper divisors (12089112).

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

6390888 is a wasteful number, since it uses less digits than its factorization.

6390888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 474 (or 470 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 42.

The square root of 6390888 is about 2528.0205695366. The cubic root of 6390888 is about 185.5753986665.

It can be divided in two parts, 63 and 90888, that added together give a triangular number (90951 = T426).

The spelling of 6390888 in words is "six million, three hundred ninety thousand, eight hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 109 168 218 327 349 436 654 698 763 872 1047 1308 1396 1526 2094 2289 2443 2616 2792 3052 4188 4578 4886 6104 7329 8376 9156 9772 14658 18312 19544 29316 38041 58632 76082 114123 152164 228246 266287 304328 456492 532574 798861 912984 1065148 1597722 2130296 3195444 6390888