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4112957728 = 2511531131951
BaseRepresentation
bin1111010100100110…
…1100000100100000
3101121122020220022201
43311021230010200
531410404121403
61520042542544
7203631364255
oct36511540440
911548226281
104112957728
111820726020
12969507a54
135071510c9
142b035942c
1519113921d
hexf526c120

4112957728 has 96 divisors (see below), whose sum is σ = 9084483072. Its totient is φ = 1817088000.

The previous prime is 4112957711. The next prime is 4112957729. The reversal of 4112957728 is 8277592114.

It is not an unprimeable number, because it can be changed into a prime (4112957729) 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 15 ways as a sum of consecutive naturals, for example, 2107153 + ... + 2109103.

It is an arithmetic number, because the mean of its divisors is an integer number (94630032).

Almost surely, 24112957728 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 4112957728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4542241536).

4112957728 is an abundant number, since it is smaller than the sum of its proper divisors (4971525344).

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

4112957728 is a wasteful number, since it uses less digits than its factorization.

4112957728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2138 (or 2130 counting only the distinct ones).

The product of its digits is 282240, while the sum is 46.

The square root of 4112957728 is about 64132.3454116564. The cubic root of 4112957728 is about 1602.2049973458.

The spelling of 4112957728 in words is "four billion, one hundred twelve million, nine hundred fifty-seven thousand, seven hundred twenty-eight".

Divisors: 1 2 4 8 11 16 22 32 44 53 88 106 113 176 212 226 352 424 452 583 848 904 1166 1243 1696 1808 1951 2332 2486 3616 3902 4664 4972 5989 7804 9328 9944 11978 15608 18656 19888 21461 23956 31216 39776 42922 47912 62432 65879 85844 95824 103403 131758 171688 191648 206806 220463 263516 343376 413612 440926 527032 686752 827224 881852 1054064 1137433 1654448 1763704 2108128 2274866 2425093 3308896 3527408 4549732 4850186 7054816 9099464 9700372 11684539 18198928 19400744 23369078 36397856 38801488 46738156 77602976 93476312 128529929 186952624 257059858 373905248 514119716 1028239432 2056478864 4112957728