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2528448 = 263131013
BaseRepresentation
bin1001101001010011000000
311202110101020
421221103000
51121402243
6130105440
730330366
oct11512300
94673336
102528448
11147772a
12a1b280
136a6b30
1449b636
1534e283
hex2694c0

2528448 has 56 divisors (see below), whose sum is σ = 7211568. Its totient is φ = 777216.

The previous prime is 2528441. The next prime is 2528479. The reversal of 2528448 is 8448252.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (2528441) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1990 + ... + 3002.

It is an arithmetic number, because the mean of its divisors is an integer number (128778).

22528448 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 2528448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3605784).

2528448 is an abundant number, since it is smaller than the sum of its proper divisors (4683120).

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

2528448 is a wasteful number, since it uses less digits than its factorization.

2528448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1041 (or 1031 counting only the distinct ones).

The product of its digits is 20480, while the sum is 33.

The square root of 2528448 is about 1590.1094301966. The cubic root of 2528448 is about 136.2337387658.

The spelling of 2528448 in words is "two million, five hundred twenty-eight thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 156 192 208 312 416 624 832 1013 1248 2026 2496 3039 4052 6078 8104 12156 13169 16208 24312 26338 32416 39507 48624 52676 64832 79014 97248 105352 158028 194496 210704 316056 421408 632112 842816 1264224 2528448