Search a number
-
+
1353820048 = 24771170249
BaseRepresentation
bin101000010110001…
…1010011110010000
310111100110011222021
41100230122132100
510233034220143
6342201021224
745356165140
oct12054323620
93440404867
101353820048
11635218049
12319484814
13187630069
14cbb30920
157dcc1ced
hex50b1a790

1353820048 has 40 divisors (see below), whose sum is σ = 3039984000. Its totient is φ = 572033280.

The previous prime is 1353819989. The next prime is 1353820067. The reversal of 1353820048 is 8400283531.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1353819995 and 1353820022.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 77173 + ... + 93076.

It is an arithmetic number, because the mean of its divisors is an integer number (75999600).

Almost surely, 21353820048 is an apocalyptic number.

It is an amenable number.

1353820048 is an abundant number, since it is smaller than the sum of its proper divisors (1686163952).

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

1353820048 is a wasteful number, since it uses less digits than its factorization.

1353820048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170335 (or 170329 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 34.

The square root of 1353820048 is about 36794.2936880164. The cubic root of 1353820048 is about 1106.2509254336.

The spelling of 1353820048 in words is "one billion, three hundred fifty-three million, eight hundred twenty thousand, forty-eight".

Divisors: 1 2 4 7 8 14 16 28 56 71 112 142 284 497 568 994 1136 1988 3976 7952 170249 340498 680996 1191743 1361992 2383486 2723984 4766972 9533944 12087679 19067888 24175358 48350716 84613753 96701432 169227506 193402864 338455012 676910024 1353820048