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4112448795 = 3257137313757
BaseRepresentation
bin1111010100011110…
…1111110100011011
3101121121022001012100
43311013233310123
531410241330140
61520024014443
7203624144430
oct36507576433
911547261170
104112448795
111820408714
12969301423
13507003570
142b0265b87
15191088530
hexf51efd1b

4112448795 has 96 divisors (see below), whose sum is σ = 8894051712. Its totient is φ = 1711466496.

The previous prime is 4112448713. The next prime is 4112448799. The reversal of 4112448795 is 5978442114.

4112448795 is a `hidden beast` number, since 4 + 112 + 448 + 7 + 95 = 666.

It is not a de Polignac number, because 4112448795 - 27 = 4112448667 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 4112448795.

It is not an unprimeable number, because it can be changed into a prime (4112448799) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 292057 + ... + 305813.

It is an arithmetic number, because the mean of its divisors is an integer number (92646372).

Almost surely, 24112448795 is an apocalyptic number.

4112448795 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

4112448795 is an abundant number, since it is smaller than the sum of its proper divisors (4781602917).

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

4112448795 is a wasteful number, since it uses less digits than its factorization.

4112448795 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13861 (or 13858 counting only the distinct ones).

The product of its digits is 322560, while the sum is 45.

The square root of 4112448795 is about 64128.3774549146. The cubic root of 4112448795 is about 1602.1389095743.

The spelling of 4112448795 in words is "four billion, one hundred twelve million, four hundred forty-eight thousand, seven hundred ninety-five".

Divisors: 1 3 5 7 9 13 15 21 35 39 45 63 65 73 91 105 117 195 219 273 315 365 455 511 585 657 819 949 1095 1365 1533 2555 2847 3285 4095 4599 4745 6643 7665 8541 13757 14235 19929 22995 33215 41271 42705 59787 68785 96299 99645 123813 178841 206355 288897 298935 481495 536523 619065 866691 894205 1004261 1251887 1444485 1609569 2682615 3012783 3755661 4333455 5021305 6259435 7029827 8047845 9038349 11266983 13055393 15063915 18778305 21089481 35149135 39166179 45191745 56334915 63268443 65276965 91387751 105447405 117498537 195830895 274163253 316342215 456938755 587492685 822489759 1370816265 4112448795