Search a number
-
+
4112986990 = 257270911839
BaseRepresentation
bin1111010100100111…
…0011001101101110
3101121122022101110111
43311021303031232
531410411040430
61520043330234
7203631545500
oct36511631556
911548271414
104112986990
111820746002
1296952097a
13507161518
142b0365d70
15191142c2a
hexf527336e

4112986990 has 48 divisors (see below), whose sum is σ = 8624966400. Its totient is φ = 1408059072.

The previous prime is 4112986949. The next prime is 4112986991. The reversal of 4112986990 is 996892114.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4112986991) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 341491 + ... + 353329.

It is an arithmetic number, because the mean of its divisors is an integer number (179686800).

Almost surely, 24112986990 is an apocalyptic number.

4112986990 is an abundant number, since it is smaller than the sum of its proper divisors (4511979410).

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

4112986990 is a wasteful number, since it uses less digits than its factorization.

4112986990 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12569 (or 12562 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 49.

The square root of 4112986990 is about 64132.5735488605. The cubic root of 4112986990 is about 1602.2087970129.

The spelling of 4112986990 in words is "four billion, one hundred twelve million, nine hundred eighty-six thousand, nine hundred ninety".

Divisors: 1 2 5 7 10 14 35 49 70 98 245 490 709 1418 3545 4963 7090 9926 11839 23678 24815 34741 49630 59195 69482 82873 118390 165746 173705 347410 414365 580111 828730 1160222 2900555 5801110 8393851 16787702 41969255 58756957 83938510 117513914 293784785 411298699 587569570 822597398 2056493495 4112986990