Search a number
-
+
463845640 = 23511596141
BaseRepresentation
bin11011101001011…
…011100100001000
31012022210210121011
4123221123210020
51422221030030
6114005453304
714331423436
oct3351334410
91168723534
10463845640
11218913105
1210b411234
1375136a9b
1445863d56
152aac5b2a
hex1ba5b908

463845640 has 16 divisors (see below), whose sum is σ = 1043652780. Its totient is φ = 185538240.

The previous prime is 463845637. The next prime is 463845643. The reversal of 463845640 is 46548364.

It is an interprime number because it is at equal distance from previous prime (463845637) and next prime (463845643).

It can be written as a sum of positive squares in 2 ways, for example, as 421152484 + 42693156 = 20522^2 + 6534^2 .

It is a Harshad number since it is a multiple of its sum of digits (40), and also a Moran number because the ratio is a prime number: 11596141 = 463845640 / (4 + 6 + 3 + 8 + 4 + 5 + 6 + 4 + 0).

It is a junction number, because it is equal to n+sod(n) for n = 463845593 and 463845602.

It is not an unprimeable number, because it can be changed into a prime (463845643) 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, 5798031 + ... + 5798110.

Almost surely, 2463845640 is an apocalyptic number.

463845640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

463845640 is an abundant number, since it is smaller than the sum of its proper divisors (579807140).

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

463845640 is a wasteful number, since it uses less digits than its factorization.

463845640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11596152 (or 11596148 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 40.

The square root of 463845640 is about 21537.0759389477. The cubic root of 463845640 is about 774.0894696789.

The spelling of 463845640 in words is "four hundred sixty-three million, eight hundred forty-five thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 20 40 11596141 23192282 46384564 57980705 92769128 115961410 231922820 463845640