Search a number
-
+
1164055446 = 232375713061
BaseRepresentation
bin100010101100010…
…0001001110010110
310000010101010212200
41011120201032112
54340444233241
6311301425330
740563210441
oct10530411626
93003333780
101164055446
115480960a4
12285a0b246
1315721a808
14b0854658
156c2da4b6
hex45621396

1164055446 has 48 divisors (see below), whose sum is σ = 2595669648. Its totient is φ = 376747200.

The previous prime is 1164055429. The next prime is 1164055469. The reversal of 1164055446 is 6445504611.

1164055446 is a `hidden beast` number, since 1 + 1 + 64 + 0 + 554 + 46 = 666.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 1164055446.

It is a congruent number.

It is an unprimeable number.

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, 378756 + ... + 381816.

It is an arithmetic number, because the mean of its divisors is an integer number (54076451).

Almost surely, 21164055446 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1164055446, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1297834824).

1164055446 is an abundant number, since it is smaller than the sum of its proper divisors (1431614202).

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

1164055446 is a wasteful number, since it uses less digits than its factorization.

1164055446 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3677 (or 3674 counting only the distinct ones).

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

The square root of 1164055446 is about 34118.2567843083. The cubic root of 1164055446 is about 1051.9406125063.

The spelling of 1164055446 in words is "one billion, one hundred sixty-four million, fifty-five thousand, four hundred forty-six".

Divisors: 1 2 3 6 9 18 37 74 111 222 333 571 666 1142 1713 3061 3426 5139 6122 9183 10278 18366 21127 27549 42254 55098 63381 113257 126762 190143 226514 339771 380286 679542 1019313 1747831 2038626 3495662 5243493 10486986 15730479 31460958 64669747 129339494 194009241 388018482 582027723 1164055446