Search a number
-
+
2053828 = 22773351
BaseRepresentation
bin111110101011011000100
310212100022201
413311123010
51011210303
6112004244
723312560
oct7653304
93770281
102053828
111183087
12830684
1356baaa
143b66a0
152a881d
hex1f56c4

2053828 has 12 divisors (see below), whose sum is σ = 4107712. Its totient is φ = 880200.

The previous prime is 2053819. The next prime is 2053837. The reversal of 2053828 is 8283502.

It is an interprime number because it is at equal distance from previous prime (2053819) and next prime (2053837).

2053828 is an admirable number.

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (28), and also a Moran number because the ratio is a prime number: 73351 = 2053828 / (2 + 0 + 5 + 3 + 8 + 2 + 8).

It is a junction number, because it is equal to n+sod(n) for n = 2053796 and 2053805.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 36648 + ... + 36703.

22053828 is an apocalyptic number.

2053828 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

2053828 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

2053828 is a wasteful number, since it uses less digits than its factorization.

2053828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73362 (or 73360 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 28.

The square root of 2053828 is about 1433.1182784404. The cubic root of 2053828 is about 127.1124306630.

The spelling of 2053828 in words is "two million, fifty-three thousand, eight hundred twenty-eight".

Divisors: 1 2 4 7 14 28 73351 146702 293404 513457 1026914 2053828