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4984390728 = 23352639749
BaseRepresentation
bin1001010010001011…
…11100010001001000
3110212101000021200000
410221011330101020
540202001000403
62142332443000
7234342423252
oct45105742110
913771007600
104984390728
112128616589
12b71319460
13615854b35
14353d9acd2
151e28c17a3
hex12917c448

4984390728 has 96 divisors (see below), whose sum is σ = 14054040000. Its totient is φ = 1654976448.

The previous prime is 4984390721. The next prime is 4984390739. The reversal of 4984390728 is 8270934894.

4984390728 is a `hidden beast` number, since 498 + 43 + 90 + 7 + 28 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (4984390721) by changing a digit.

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, 506398 + ... + 516146.

It is an arithmetic number, because the mean of its divisors is an integer number (146396250).

Almost surely, 24984390728 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 4984390728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7027020000).

4984390728 is an abundant number, since it is smaller than the sum of its proper divisors (9069649272).

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

4984390728 is a wasteful number, since it uses less digits than its factorization.

4984390728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10033 (or 10017 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The square root of 4984390728 is about 70600.2176200612. The cubic root of 4984390728 is about 1708.1946597716.

The spelling of 4984390728 in words is "four billion, nine hundred eighty-four million, three hundred ninety thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 243 263 324 486 526 648 789 972 1052 1578 1944 2104 2367 3156 4734 6312 7101 9468 9749 14202 18936 19498 21303 28404 29247 38996 42606 56808 58494 63909 77992 85212 87741 116988 127818 170424 175482 233976 255636 263223 350964 511272 526446 701928 789669 1052892 1579338 2105784 2369007 2563987 3158676 4738014 5127974 6317352 7691961 9476028 10255948 15383922 18952056 20511896 23075883 30767844 46151766 61535688 69227649 92303532 138455298 184607064 207682947 276910596 415365894 553821192 623048841 830731788 1246097682 1661463576 2492195364 4984390728