Search a number
-
+
2048464 = 2411103113
BaseRepresentation
bin111110100000111010000
310212001222001
413310013100
51011022324
6111523344
723261125
oct7640720
93761861
102048464
11117a050
12829554
13569512
143b474c
152a6e44
hex1f41d0

2048464 has 40 divisors (see below), whose sum is σ = 4410432. Its totient is φ = 913920.

The previous prime is 2048429. The next prime is 2048467. The reversal of 2048464 is 4648402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2048467) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18072 + ... + 18184.

22048464 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 2048464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2205216).

2048464 is an abundant number, since it is smaller than the sum of its proper divisors (2361968).

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

2048464 is a wasteful number, since it uses less digits than its factorization.

2048464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 235 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

The square root of 2048464 is about 1431.2456113470. The cubic root of 2048464 is about 127.0016739813.

It can be divided in two parts, 204 and 8464, that added together give a palindrome (8668).

The spelling of 2048464 in words is "two million, forty-eight thousand, four hundred sixty-four".

Divisors: 1 2 4 8 11 16 22 44 88 103 113 176 206 226 412 452 824 904 1133 1243 1648 1808 2266 2486 4532 4972 9064 9944 11639 18128 19888 23278 46556 93112 128029 186224 256058 512116 1024232 2048464