Search a number
-
+
4204106928 = 243371390247
BaseRepresentation
bin1111101010010101…
…1001010010110000
3101211222202202112000
43322211121102300
532102222410203
61533100334000
7206116214340
oct37245312260
911758682460
104204106928
11186812183a
12993b44300
1351ccb6148
142bc4c4d20
151991414a3
hexfa9594b0

4204106928 has 80 divisors (see below), whose sum is σ = 13791260160. Its totient is φ = 1201172544.

The previous prime is 4204106917. The next prime is 4204106941. The reversal of 4204106928 is 8296014024.

4204106928 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 4204106892 and 4204106901.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 692100 + ... + 698147.

It is an arithmetic number, because the mean of its divisors is an integer number (172390752).

Almost surely, 24204106928 is an apocalyptic number.

4204106928 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

4204106928 is an abundant number, since it is smaller than the sum of its proper divisors (9587153232).

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

4204106928 is a wasteful number, since it uses less digits than its factorization.

4204106928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1390271 (or 1390259 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 4204106928 is about 64839.0848794151. The cubic root of 4204106928 is about 1613.9543663940.

The spelling of 4204106928 in words is "four billion, two hundred four million, one hundred six thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 84 108 112 126 144 168 189 216 252 336 378 432 504 756 1008 1512 3024 1390247 2780494 4170741 5560988 8341482 9731729 11121976 12512223 16682964 19463458 22243952 25024446 29195187 33365928 37536669 38926916 50048892 58390374 66731856 75073338 77853832 87585561 100097784 116780748 150146676 155707664 175171122 200195568 233561496 262756683 300293352 350342244 467122992 525513366 600586704 700684488 1051026732 1401368976 2102053464 4204106928