Search a number
-
+
5542052256 = 2532132336353
BaseRepresentation
bin1010010100101010…
…10000000110100000
3112022020100102110200
411022111100012200
542322231133011
62313533225200
7254223444516
oct51225200640
915266312420
105542052256
112394386984
1210a8032200
136a4248680
143a80824b6
15226829856
hex14a5501a0

5542052256 has 144 divisors (see below), whose sum is σ = 17048061576. Its totient is φ = 1697660928.

The previous prime is 5542052237. The next prime is 5542052281. The reversal of 5542052256 is 6522502455.

5542052256 is a `hidden beast` number, since 5 + 5 + 420 + 5 + 225 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2870816400 + 2671235856 = 53580^2 + 51684^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 5542052256.

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 23 ways as a sum of consecutive naturals, for example, 869176 + ... + 875528.

Almost surely, 25542052256 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 5542052256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8524030788).

5542052256 is an abundant number, since it is smaller than the sum of its proper divisors (11506009320).

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

5542052256 is a wasteful number, since it uses less digits than its factorization.

5542052256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6615 (or 6604 counting only the distinct ones).

The product of its (nonzero) digits is 120000, while the sum is 36.

The square root of 5542052256 is about 74444.9612532641. The cubic root of 5542052256 is about 1769.6615114482.

The spelling of 5542052256 in words is "five billion, five hundred forty-two million, fifty-two thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 72 78 96 104 117 144 156 208 233 234 288 312 416 466 468 624 699 932 936 1248 1398 1864 1872 2097 2796 3029 3728 3744 4194 5592 6058 6353 7456 8388 9087 11184 12116 12706 16776 18174 19059 22368 24232 25412 27261 33552 36348 38118 48464 50824 54522 57177 67104 72696 76236 82589 96928 101648 109044 114354 145392 152472 165178 203296 218088 228708 247767 290784 304944 330356 436176 457416 495534 609888 660712 743301 872352 914832 991068 1321424 1480249 1486602 1829664 1982136 2642848 2960498 2973204 3964272 4440747 5920996 5946408 7928544 8881494 11841992 11892816 13322241 17762988 19243237 23683984 23785632 26644482 35525976 38486474 47367968 53288964 57729711 71051952 76972948 106577928 115459422 142103904 153945896 173189133 213155856 230918844 307891792 346378266 426311712 461837688 615783584 692756532 923675376 1385513064 1847350752 2771026128 5542052256