Search a number
-
+
556465520 = 245134191277
BaseRepresentation
bin100001001010101…
…111110101110000
31102210002101012002
4201022233311300
52114423344040
6131114553132
716534610312
oct4112576560
91383071162
10556465520
11266123866
121364387a8
138b395350
1453c937b2
1533cbda15
hex212afd70

556465520 has 80 divisors (see below), whose sum is σ = 1397723040. Its totient is φ = 204813312.

The previous prime is 556465517. The next prime is 556465549. The reversal of 556465520 is 25564655.

It is a happy number.

556465520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 435122 + ... + 436398.

It is an arithmetic number, because the mean of its divisors is an integer number (17471538).

Almost surely, 2556465520 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 556465520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (698861520).

556465520 is an abundant number, since it is smaller than the sum of its proper divisors (841257520).

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

556465520 is a wasteful number, since it uses less digits than its factorization.

556465520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1722 (or 1716 counting only the distinct ones).

The product of its (nonzero) digits is 180000, while the sum is 38.

The square root of 556465520 is about 23589.5214025211. The cubic root of 556465520 is about 822.5192796730.

The spelling of 556465520 in words is "five hundred fifty-six million, four hundred sixty-five thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 208 260 419 520 838 1040 1277 1676 2095 2554 3352 4190 5108 5447 6385 6704 8380 10216 10894 12770 16601 16760 20432 21788 25540 27235 33202 33520 43576 51080 54470 66404 83005 87152 102160 108940 132808 166010 217880 265616 332020 435760 535063 664040 1070126 1328080 2140252 2675315 4280504 5350630 6955819 8561008 10701260 13911638 21402520 27823276 34779095 42805040 55646552 69558190 111293104 139116380 278232760 556465520