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6468984 = 233467149
BaseRepresentation
bin11000101011010101111000
3110011122210000
4120223111320
53124001414
6350353000
7105662004
oct30532570
913148700
106468984
113719275
1221bb760
131456602
14c05704
1587bb09
hex62b578

6468984 has 80 divisors (see below), whose sum is σ = 18513000. Its totient is φ = 2109888.

The previous prime is 6468983. The next prime is 6468997. The reversal of 6468984 is 4898646.

It is a happy number.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6468983) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 43342 + ... + 43490.

Almost surely, 26468984 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 6468984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9256500).

6468984 is an abundant number, since it is smaller than the sum of its proper divisors (12044016).

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

6468984 is a wasteful number, since it uses less digits than its factorization.

6468984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234 (or 221 counting only the distinct ones).

The product of its digits is 331776, while the sum is 45.

The square root of 6468984 is about 2543.4197451463. The cubic root of 6468984 is about 186.3282445294.

The spelling of 6468984 in words is "six million, four hundred sixty-eight thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 67 72 81 108 134 149 162 201 216 268 298 324 402 447 536 596 603 648 804 894 1192 1206 1341 1608 1788 1809 2412 2682 3576 3618 4023 4824 5364 5427 7236 8046 9983 10728 10854 12069 14472 16092 19966 21708 24138 29949 32184 39932 43416 48276 59898 79864 89847 96552 119796 179694 239592 269541 359388 539082 718776 808623 1078164 1617246 2156328 3234492 6468984