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2046928 = 24132757
BaseRepresentation
bin111110011101111010000
310211222212011
413303233100
51011000203
6111512304
723253502
oct7635720
93758764
102046928
111178984
12828694
13568900
143b3d72
152a676d
hex1f3bd0

2046928 has 30 divisors (see below), whose sum is σ = 4300134. Its totient is φ = 943488.

The previous prime is 2046901. The next prime is 2046937. The reversal of 2046928 is 8296402.

It can be written as a sum of positive squares in 3 ways, for example, as 7744 + 2039184 = 88^2 + 1428^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 2046928.

It is a congruent number.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 2326 + ... + 3082.

22046928 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 2046928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2150067).

2046928 is an abundant number, since it is smaller than the sum of its proper divisors (2253206).

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

2046928 is a wasteful number, since it uses less digits than its factorization.

2046928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 791 (or 772 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 31.

The square root of 2046928 is about 1430.7089151886. The cubic root of 2046928 is about 126.9699228173.

The spelling of 2046928 in words is "two million, forty-six thousand, nine hundred twenty-eight".

Divisors: 1 2 4 8 13 16 26 52 104 169 208 338 676 757 1352 1514 2704 3028 6056 9841 12112 19682 39364 78728 127933 157456 255866 511732 1023464 2046928