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2428824 = 233175953
BaseRepresentation
bin1001010000111110011000
311120101201110
421100332120
51110210244
6124020320
726434056
oct11207630
94511643
102428824
1114098a2
129916a0
13670698
144731d6
1532e9b9
hex250f98

2428824 has 32 divisors (see below), whose sum is σ = 6430320. Its totient is φ = 761856.

The previous prime is 2428787. The next prime is 2428859. The reversal of 2428824 is 4288242.

2428824 = 422 + 432 + ... + 1942.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 2428791 and 2428800.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2569 + ... + 3384.

22428824 is an apocalyptic number.

2428824 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2428824 is an abundant number, since it is smaller than the sum of its proper divisors (4001496).

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

2428824 is a wasteful number, since it uses less digits than its factorization.

2428824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5979 (or 5975 counting only the distinct ones).

The product of its digits is 8192, while the sum is 30.

The square root of 2428824 is about 1558.4684789883. The cubic root of 2428824 is about 134.4204511112.

The spelling of 2428824 in words is "two million, four hundred twenty-eight thousand, eight hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 68 102 136 204 408 5953 11906 17859 23812 35718 47624 71436 101201 142872 202402 303603 404804 607206 809608 1214412 2428824