Search a number
-
+
1352857856 = 28743171
BaseRepresentation
bin101000010100010…
…1111100100000000
310111021122022002112
41100220233210000
510232312422411
6342124234452
745345050000
oct12050574400
93437568075
101352857856
11634720149
1231909ba28
1318738410c
14cb960000
157db81b8b
hex50a2f900

1352857856 has 180 divisors, whose sum is σ = 3297740544. Its totient is φ = 553190400.

The previous prime is 1352857733. The next prime is 1352857879. The reversal of 1352857856 is 6587582531.

It is a happy number.

It is a nialpdrome in base 14.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 19054301 + ... + 19054371.

Almost surely, 21352857856 is an apocalyptic number.

1352857856 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1352857856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1648870272).

1352857856 is an abundant number, since it is smaller than the sum of its proper divisors (1944882688).

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

1352857856 is an frugal number, since it uses more digits than its factorization.

1352857856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 111 counting only the distinct ones).

The product of its digits is 2016000, while the sum is 50.

The square root of 1352857856 is about 36781.2160756003. The cubic root of 1352857856 is about 1105.9887837350.

The spelling of 1352857856 in words is "one billion, three hundred fifty-two million, eight hundred fifty-seven thousand, eight hundred fifty-six".