Search a number
-
+
556642424 = 231317359877
BaseRepresentation
bin100001001011011…
…011000001111000
31102210102100212002
4201023123001320
52120000024144
6131122440132
716536245132
oct4113330170
91383370762
10556642424
11266234768
12136503048
138b427a20
1453cdc052
1533d0614e
hex212db078

556642424 has 64 divisors (see below), whose sum is σ = 1194782400. Its totient is φ = 240850944.

The previous prime is 556642423. The next prime is 556642451. The reversal of 556642424 is 424246655.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (556642421) 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 15 ways as a sum of consecutive naturals, for example, 634274 + ... + 635150.

It is an arithmetic number, because the mean of its divisors is an integer number (18668475).

Almost surely, 2556642424 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 556642424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (597391200).

556642424 is an abundant number, since it is smaller than the sum of its proper divisors (638139976).

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

556642424 is a wasteful number, since it uses less digits than its factorization.

556642424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1272 (or 1268 counting only the distinct ones).

The product of its digits is 230400, while the sum is 38.

The square root of 556642424 is about 23593.2707355297. The cubic root of 556642424 is about 822.6064318438.

The spelling of 556642424 in words is "five hundred fifty-six million, six hundred forty-two thousand, four hundred twenty-four".

Divisors: 1 2 4 8 13 17 26 34 52 68 104 136 221 359 442 718 877 884 1436 1754 1768 2872 3508 4667 6103 7016 9334 11401 12206 14909 18668 22802 24412 29818 37336 45604 48824 59636 79339 91208 119272 158678 193817 314843 317356 387634 629686 634712 775268 1259372 1550536 2518744 4092959 5352331 8185918 10704662 16371836 21409324 32743672 42818648 69580303 139160606 278321212 556642424