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2048432 = 24172443
BaseRepresentation
bin111110100000110110000
310212001220212
413310012300
51011022212
6111523252
723261051
oct7640660
93761825
102048432
11117a021
12829528
135694b9
143b4728
152a6e22
hex1f41b0

2048432 has 30 divisors (see below), whose sum is σ = 4225548. Its totient is φ = 961792.

The previous prime is 2048429. The next prime is 2048467. The reversal of 2048432 is 2348402.

It is a junction number, because it is equal to n+sod(n) for n = 2048398 and 2048407.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4403 + ... + 4845.

22048432 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 2048432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2112774).

2048432 is an abundant number, since it is smaller than the sum of its proper divisors (2177116).

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

2048432 is a wasteful number, since it uses less digits than its factorization.

2048432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 485 (or 462 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

The square root of 2048432 is about 1431.2344322297. The cubic root of 2048432 is about 127.0010126606.

It can be divided in two parts, 2048 and 432, that multiplied together give a cube (884736 = 963).

The spelling of 2048432 in words is "two million, forty-eight thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 17 34 68 136 272 289 443 578 886 1156 1772 2312 3544 4624 7088 7531 15062 30124 60248 120496 128027 256054 512108 1024216 2048432