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2428056 = 23351249
BaseRepresentation
bin1001010000110010011000
311120100200000
421100302120
51110144211
6124013000
726431611
oct11206230
94510600
102428056
111409264
12991160
13670227
14472c08
1532e656
hex250c98

2428056 has 48 divisors (see below), whose sum is σ = 6825000. Its totient is φ = 808704.

The previous prime is 2428043. The next prime is 2428057. The reversal of 2428056 is 6508242.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2428057) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1320 + ... + 2568.

22428056 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 2428056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3412500).

2428056 is an abundant number, since it is smaller than the sum of its proper divisors (4396944).

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

2428056 is a wasteful number, since it uses less digits than its factorization.

2428056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1270 (or 1254 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 2428056 is about 1558.2220637637. Note that the first 3 decimals coincide. The cubic root of 2428056 is about 134.4062815942.

It can be divided in two parts, 24280 and 56, that added together give a square (24336 = 1562).

The spelling of 2428056 in words is "two million, four hundred twenty-eight thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 243 324 486 648 972 1249 1944 2498 3747 4996 7494 9992 11241 14988 22482 29976 33723 44964 67446 89928 101169 134892 202338 269784 303507 404676 607014 809352 1214028 2428056