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4542894756 = 22321921013461
BaseRepresentation
bin1000011101100011…
…10001001010100100
3102201121020222001100
410032301301022210
533300440113011
62030442000100
7220401653061
oct41661611244
912647228040
104542894756
111a21389084
12a694a6030
13575244b0a
143114b3c68
151b8c62d56
hex10ec712a4

4542894756 has 108 divisors (see below), whose sum is σ = 12243162204. Its totient is φ = 1419984000.

The previous prime is 4542894739. The next prime is 4542894761. The reversal of 4542894756 is 6574982454.

4542894756 is a `hidden beast` number, since 4 + 542 + 8 + 9 + 47 + 56 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2858613156 + 1684281600 = 53466^2 + 41040^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1310866 + ... + 1314326.

It is an arithmetic number, because the mean of its divisors is an integer number (113362613).

Almost surely, 24542894756 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 4542894756, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6121581102).

4542894756 is an abundant number, since it is smaller than the sum of its proper divisors (7700267448).

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

4542894756 is a wasteful number, since it uses less digits than its factorization.

4542894756 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3610 (or 3586 counting only the distinct ones).

The product of its digits is 9676800, while the sum is 54.

The square root of 4542894756 is about 67400.9996661771. Note that the first 3 decimals coincide. The cubic root of 4542894756 is about 1656.1927985637.

The spelling of 4542894756 in words is "four billion, five hundred forty-two million, eight hundred ninety-four thousand, seven hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 101 114 171 202 228 303 342 361 404 606 684 722 909 1083 1212 1444 1818 1919 2166 3249 3461 3636 3838 4332 5757 6498 6922 7676 10383 11514 12996 13844 17271 20766 23028 31149 34542 36461 41532 62298 65759 69084 72922 109383 124596 131518 145844 197277 218766 263036 328149 349561 394554 437532 591831 656298 699122 789108 1048683 1183662 1249421 1312596 1398244 2097366 2367324 2498842 3146049 3748263 4194732 4997684 6292098 6641659 7496526 11244789 12584196 13283318 14993052 19924977 22489578 26566636 39849954 44979156 59774931 79699908 119549862 126191521 239099724 252383042 378574563 504766084 757149126 1135723689 1514298252 2271447378 4542894756