Search a number
-
+
556680042 = 232417310333
BaseRepresentation
bin100001001011100…
…100001101101010
31102210111021110100
4201023210031222
52120002230132
6131123330230
716536462612
oct4113441552
91383437410
10556680042
1126625aa56
12136520976
138b43bb99
1453d0ba42
1533d1237c
hex212e436a

556680042 has 48 divisors (see below), whose sum is σ = 1252604808. Its totient is φ = 178536960.

The previous prime is 556680037. The next prime is 556680043. The reversal of 556680042 is 240086655.

556680042 is a `hidden beast` number, since 556 + 68 + 0 + 0 + 42 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 420701121 + 135978921 = 20511^2 + 11661^2 .

It is a super-2 number, since 2×5566800422 = 619785338322243528, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 556679979 and 556680006.

It is not an unprimeable number, because it can be changed into a prime (556680043) 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 23 ways as a sum of consecutive naturals, for example, 48708 + ... + 59040.

Almost surely, 2556680042 is an apocalyptic number.

556680042 is an abundant number, since it is smaller than the sum of its proper divisors (695924766).

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

556680042 is a wasteful number, since it uses less digits than its factorization.

556680042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10455 (or 10452 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 556680042 is about 23594.0679409041. The cubic root of 556680042 is about 822.6249620590.

The spelling of 556680042 in words is "five hundred fifty-six million, six hundred eighty thousand, forty-two".

Divisors: 1 2 3 6 9 18 41 73 82 123 146 219 246 369 438 657 738 1314 2993 5986 8979 10333 17958 20666 26937 30999 53874 61998 92997 185994 423653 754309 847306 1270959 1508618 2262927 2541918 3812877 4525854 6788781 7625754 13577562 30926669 61853338 92780007 185560014 278340021 556680042