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4092758368 = 252353239439
BaseRepresentation
bin1111001111110010…
…1000100101100000
3101120020020200000021
43303330220211200
531340221231433
61514042003224
7203264605066
oct36374504540
911506220007
104092758368
111810289a36
129627a6514
13502bcb01a
142ab7bc036
1518e49922d
hexf3f28960

4092758368 has 96 divisors (see below), whose sum is σ = 8622028800. Its totient is φ = 1908082176.

The previous prime is 4092758363. The next prime is 4092758387. The reversal of 4092758368 is 8638572904.

4092758368 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4092758363) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9322693 + ... + 9323131.

It is an arithmetic number, because the mean of its divisors is an integer number (89812800).

Almost surely, 24092758368 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 4092758368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4311014400).

4092758368 is an abundant number, since it is smaller than the sum of its proper divisors (4529270432).

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

4092758368 is a wasteful number, since it uses less digits than its factorization.

4092758368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 764 (or 756 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 52.

The square root of 4092758368 is about 63974.6697373265. The cubic root of 4092758368 is about 1599.5778011024.

The spelling of 4092758368 in words is "four billion, ninety-two million, seven hundred fifty-eight thousand, three hundred sixty-eight".

Divisors: 1 2 4 8 16 23 32 46 53 92 106 184 212 239 368 424 439 478 736 848 878 956 1219 1696 1756 1912 2438 3512 3824 4876 5497 7024 7648 9752 10097 10994 12667 14048 19504 20194 21988 23267 25334 39008 40388 43976 46534 50668 80776 87952 93068 101336 104921 161552 175904 186136 202672 209842 291341 323104 372272 405344 419684 535141 582682 744544 839368 1070282 1165364 1678736 2140564 2330728 2413183 3357472 4281128 4661456 4826366 5560813 8562256 9322912 9652732 11121626 17124512 19305464 22243252 38610928 44486504 77221856 88973008 127898699 177946016 255797398 511594796 1023189592 2046379184 4092758368