[go: up one dir, main page]

Search a number
-
+
2047808 = 2672653
BaseRepresentation
bin111110011111101000000
310212001001202
413303331000
51011012213
6111520332
723256200
oct7637500
93761052
102047808
111179604
128290a8
13569129
143b4400
152a6b58
hex1f3f40

2047808 has 42 divisors (see below), whose sum is σ = 4734306. Its totient is φ = 876288.

The previous prime is 2047781. The next prime is 2047811. The reversal of 2047808 is 8087402.

It can be written as a sum of positive squares in only one way, i.e., 1517824 + 529984 = 1232^2 + 728^2 .

It is a congruent number.

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, 2810 + ... + 3462.

22047808 is an apocalyptic number.

2047808 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2047808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2367153).

2047808 is an abundant number, since it is smaller than the sum of its proper divisors (2686498).

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

2047808 is an equidigital number, since it uses as much as digits as its factorization.

2047808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 679 (or 662 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 29.

The square root of 2047808 is about 1431.0164219882. The cubic root of 2047808 is about 126.9881155308.

The spelling of 2047808 in words is "two million, forty-seven thousand, eight hundred eight".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 196 224 392 448 653 784 1306 1568 2612 3136 4571 5224 9142 10448 18284 20896 31997 36568 41792 63994 73136 127988 146272 255976 292544 511952 1023904 2047808