Search a number
BaseRepresentation
bin111110100001111010000
310212002200000
413310033100
51011031401
6111530000
723262456
oct7641720
93762600
102048976
11117a476
12829900
13569817
143b49d6
152a7186
hex1f43d0

2048976 has 120 divisors (see below), whose sum is σ = 6499584. Its totient is φ = 622080.

The previous prime is 2048957. The next prime is 2048983. The reversal of 2048976 is 6798402.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 2048976.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 66081 + ... + 66111.

22048976 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 2048976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3249792).

2048976 is an abundant number, since it is smaller than the sum of its proper divisors (4450608).

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

2048976 is a wasteful number, since it uses less digits than its factorization.

2048976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 2048976 is about 1431.4244653491. The cubic root of 2048976 is about 127.0122541754.

It can be divided in two parts, 204 and 8976, that added together give a triangular number (9180 = T135).

The spelling of 2048976 in words is "two million, forty-eight thousand, nine hundred seventy-six".