[go: up one dir, main page]

Search a number
-
+
2047696 = 24747389
BaseRepresentation
bin111110011111011010000
310212000220121
413303323100
51011011241
6111520024
723255650
oct7637320
93760817
102047696
111179512
12829014
13569071
143b4360
152a6ad1
hex1f3ed0

2047696 has 40 divisors (see below), whose sum is σ = 4642560. Its totient is φ = 856704.

The previous prime is 2047651. The next prime is 2047699. The reversal of 2047696 is 6967402.

It is a d-powerful number, because it can be written as 213 + 0 + 46 + 75 + 67 + 95 + 68 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2047699) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5070 + ... + 5458.

It is an arithmetic number, because the mean of its divisors is an integer number (116064).

22047696 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 2047696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2321280).

2047696 is an abundant number, since it is smaller than the sum of its proper divisors (2594864).

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

2047696 is a wasteful number, since it uses less digits than its factorization.

2047696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 451 (or 445 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 34.

The square root of 2047696 is about 1430.9772884291. The cubic root of 2047696 is about 126.9858003840.

The spelling of 2047696 in words is "two million, forty-seven thousand, six hundred ninety-six".

Divisors: 1 2 4 7 8 14 16 28 47 56 94 112 188 329 376 389 658 752 778 1316 1556 2632 2723 3112 5264 5446 6224 10892 18283 21784 36566 43568 73132 127981 146264 255962 292528 511924 1023848 2047696