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556313040 = 24325772657
BaseRepresentation
bin100001001010001…
…010100111010000
31102202210122000200
4201022022213100
52114404004130
6131111415200
716533403623
oct4112124720
91382718020
10556313040
1126602a248
12136384500
138b340b1a
1453c53dba
1533c8d760
hex2128a9d0

556313040 has 60 divisors (see below), whose sum is σ = 1868287044. Its totient is φ = 148349952.

The previous prime is 556313033. The next prime is 556313063. The reversal of 556313040 is 40313655.

It can be written as a sum of positive squares in 2 ways, for example, as 443018304 + 113294736 = 21048^2 + 10644^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a junction number, because it is equal to n+sod(n) for n = 556312995 and 556313013.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 385609 + ... + 387048.

Almost surely, 2556313040 is an apocalyptic number.

It is an amenable number.

556313040 is an abundant number, since it is smaller than the sum of its proper divisors (1311974004).

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

556313040 is a wasteful number, since it uses less digits than its factorization.

556313040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 772676 (or 772667 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

The square root of 556313040 is about 23586.2892376058. The cubic root of 556313040 is about 822.4441452202. Note that the first 3 decimals are identical.

Adding to 556313040 its reverse (40313655), we get a palindrome (596626695).

The spelling of 556313040 in words is "five hundred fifty-six million, three hundred thirteen thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 772657 1545314 2317971 3090628 3863285 4635942 6181256 6953913 7726570 9271884 11589855 12362512 13907826 15453140 18543768 23179710 27815652 30906280 34769565 37087536 46359420 55631304 61812560 69539130 92718840 111262608 139078260 185437680 278156520 556313040