Search a number
-
+
1056532644 = 223229348129
BaseRepresentation
bin111110111110010…
…110100010100100
32201122001102022200
4332332112202210
54130433021034
6252501054500
735116244046
oct7676264244
92648042280
101056532644
114a2426682
122559b7430
1313ab71b5b
14a0465a96
1562b4ba99
hex3ef968a4

1056532644 has 18 divisors (see below), whose sum is σ = 2670679830. Its totient is φ = 352177536.

The previous prime is 1056532613. The next prime is 1056532651. The reversal of 1056532644 is 4462356501.

1056532644 is a `hidden beast` number, since 1 + 0 + 5 + 6 + 5 + 3 + 2 + 644 = 666.

It can be written as a sum of positive squares in only one way, i.e., 836366400 + 220166244 = 28920^2 + 14838^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a super-2 number, since 2×10565326442 = 2232522455675261472, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 29348129 = 1056532644 / (1 + 0 + 5 + 6 + 5 + 3 + 2 + 6 + 4 + 4).

It is a junction number, because it is equal to n+sod(n) for n = 1056532599 and 1056532608.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 14674029 + ... + 14674100.

Almost surely, 21056532644 is an apocalyptic number.

It is an amenable number.

1056532644 is an abundant number, since it is smaller than the sum of its proper divisors (1614147186).

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

1056532644 is a wasteful number, since it uses less digits than its factorization.

1056532644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29348139 (or 29348134 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The square root of 1056532644 is about 32504.3480783725. The cubic root of 1056532644 is about 1018.4998593762.

The spelling of 1056532644 in words is "one billion, fifty-six million, five hundred thirty-two thousand, six hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 29348129 58696258 88044387 117392516 176088774 264133161 352177548 528266322 1056532644