Search a number
-
+
1356249728 = 2729365369
BaseRepresentation
bin101000011010110…
…1011101010000000
310111112000121212102
41100311223222000
510234144442403
6342325045532
745415634561
oct12065535200
93445017772
101356249728
11636627549
1231a2568a8
13187ca0c42
14cc1a4168
157e101b88
hex50d6ba80

1356249728 has 32 divisors (see below), whose sum is σ = 2795080500. Its totient is φ = 654739456.

The previous prime is 1356249691. The next prime is 1356249731. The reversal of 1356249728 is 8279426531.

It can be written as a sum of positive squares in 2 ways, for example, as 1354828864 + 1420864 = 36808^2 + 1192^2 .

It is a tau number, because it is divible by the number of its divisors (32).

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 3 ways as a sum of consecutive naturals, for example, 178973 + ... + 186396.

Almost surely, 21356249728 is an apocalyptic number.

It is an amenable number.

1356249728 is an abundant number, since it is smaller than the sum of its proper divisors (1438830772).

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

1356249728 is an equidigital number, since it uses as much as digits as its factorization.

1356249728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 365412 (or 365400 counting only the distinct ones).

The product of its digits is 725760, while the sum is 47.

The square root of 1356249728 is about 36827.2959637278. The cubic root of 1356249728 is about 1106.9123204283.

The spelling of 1356249728 in words is "one billion, three hundred fifty-six million, two hundred forty-nine thousand, seven hundred twenty-eight".

Divisors: 1 2 4 8 16 29 32 58 64 116 128 232 464 928 1856 3712 365369 730738 1461476 2922952 5845904 10595701 11691808 21191402 23383616 42382804 46767232 84765608 169531216 339062432 678124864 1356249728