Search a number
-
+
1357848801 = 327121732
BaseRepresentation
bin101000011101111…
…0010000011100001
310111122000212101100
41100323302003201
510240102130201
6342423225013
745435344601
oct12073620341
93448025340
101357848801
116375199a1
1231a8a8169
13188410a3a
14cc49cc01
157e31a886
hex50ef20e1

1357848801 has 27 divisors (see below), whose sum is σ = 2000916307. Its totient is φ = 887323920.

The previous prime is 1357848799. The next prime is 1357848827. The reversal of 1357848801 is 1088487531.

It is a happy number.

The square root of 1357848801 is 36849.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 1235171025 + 122677776 = 35145^2 + 11076^2 .

It is not a de Polignac number, because 1357848801 - 21 = 1357848799 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1357848841) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 7848751 + ... + 7848923.

Almost surely, 21357848801 is an apocalyptic number.

1357848801 is the 36849-th square number.

1357848801 is the 18425-th centered octagonal number.

It is an amenable number.

1357848801 is a deficient number, since it is larger than the sum of its proper divisors (643067506).

1357848801 is an frugal number, since it uses more digits than its factorization.

1357848801 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 494 (or 247 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 45.

The cubic root of 1357848801 is about 1107.3471809551.

The spelling of 1357848801 in words is "one billion, three hundred fifty-seven million, eight hundred forty-eight thousand, eight hundred one".

Divisors: 1 3 9 71 173 213 519 639 1557 5041 12283 15123 29929 36849 45369 89787 110547 269361 872093 2124959 2616279 6374877 7848837 19124631 150872089 452616267 1357848801