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6424912 = 2413172379
BaseRepresentation
bin11000100000100101010000
3110002102022201
4120200211100
53121044122
6345412544
7105416344
oct30404520
913072281
106424912
11369914a
12219a154
13143c530
14bd3624
1586da27
hex620950

6424912 has 80 divisors (see below), whose sum is σ = 14999040. Its totient is φ = 2635776.

The previous prime is 6424909. The next prime is 6424919. The reversal of 6424912 is 2194246.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6424919) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 81289 + ... + 81367.

It is an arithmetic number, because the mean of its divisors is an integer number (187488).

Almost surely, 26424912 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 6424912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7499520).

6424912 is an abundant number, since it is smaller than the sum of its proper divisors (8574128).

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

6424912 is a wasteful number, since it uses less digits than its factorization.

6424912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 134 counting only the distinct ones).

The product of its digits is 3456, while the sum is 28.

The square root of 6424912 is about 2534.7410124113. The cubic root of 6424912 is about 185.9041399134.

It can be divided in two parts, 64249 and 12, that added together give a triangular number (64261 = T358).

The spelling of 6424912 in words is "six million, four hundred twenty-four thousand, nine hundred twelve".

Divisors: 1 2 4 8 13 16 17 23 26 34 46 52 68 79 92 104 136 158 184 208 221 272 299 316 368 391 442 598 632 782 884 1027 1196 1264 1343 1564 1768 1817 2054 2392 2686 3128 3536 3634 4108 4784 5083 5372 6256 7268 8216 10166 10744 14536 16432 17459 20332 21488 23621 29072 30889 34918 40664 47242 61778 69836 81328 94484 123556 139672 188968 247112 279344 377936 401557 494224 803114 1606228 3212456 6424912