Search a number
-
+
1463091712 = 295353917
BaseRepresentation
bin101011100110101…
…0000001000000000
310202222001202111221
41113031100020000
510444022413322
6401103044424
751154034335
oct12715201000
93688052457
101463091712
11690971505
12349ba0714
131a416ba54
14dc45698c
15886a89c7
hex57350200

1463091712 has 40 divisors (see below), whose sum is σ = 2978538156. Its totient is φ = 717729792.

The previous prime is 1463091671. The next prime is 1463091719. The reversal of 1463091712 is 2171903641.

It can be written as a sum of positive squares in 2 ways, for example, as 1436713216 + 26378496 = 37904^2 + 5136^2 .

It is not an unprimeable number, because it can be changed into a prime (1463091719) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 178 + ... + 54094.

Almost surely, 21463091712 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1463091712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1489269078).

1463091712 is an abundant number, since it is smaller than the sum of its proper divisors (1515446444).

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

1463091712 is an frugal number, since it uses more digits than its factorization.

1463091712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53988 (or 53972 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 34.

The square root of 1463091712 is about 38250.3818543031. The cubic root of 1463091712 is about 1135.2474020642.

The spelling of 1463091712 in words is "one billion, four hundred sixty-three million, ninety-one thousand, seven hundred twelve".

Divisors: 1 2 4 8 16 32 53 64 106 128 212 256 424 512 848 1696 3392 6784 13568 27136 53917 107834 215668 431336 862672 1725344 2857601 3450688 5715202 6901376 11430404 13802752 22860808 27605504 45721616 91443232 182886464 365772928 731545856 1463091712