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2523488 = 251167107
BaseRepresentation
bin1001101000000101100000
311202012120112
421220011200
51121222423
6130030452
730310052
oct11500540
94665515
102523488
111473a30
12a18428
136a47b6
144998d2
1534ca78
hex268160

2523488 has 48 divisors (see below), whose sum is σ = 5552064. Its totient is φ = 1119360.

The previous prime is 2523487. The next prime is 2523503. The reversal of 2523488 is 8843252.

It is a super-2 number, since 2×25234882 = 12735983372288, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a d-powerful number, because it can be written as 2 + 59 + 211 + 312 + 46 + 8 + 85 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2523481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23531 + ... + 23637.

It is an arithmetic number, because the mean of its divisors is an integer number (115668).

22523488 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 2523488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2776032).

2523488 is an abundant number, since it is smaller than the sum of its proper divisors (3028576).

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

2523488 is a wasteful number, since it uses less digits than its factorization.

2523488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195 (or 187 counting only the distinct ones).

The product of its digits is 15360, while the sum is 32.

The square root of 2523488 is about 1588.5490234802. The cubic root of 2523488 is about 136.1445982239.

The spelling of 2523488 in words is "two million, five hundred twenty-three thousand, four hundred eighty-eight".

Divisors: 1 2 4 8 11 16 22 32 44 67 88 107 134 176 214 268 352 428 536 737 856 1072 1177 1474 1712 2144 2354 2948 3424 4708 5896 7169 9416 11792 14338 18832 23584 28676 37664 57352 78859 114704 157718 229408 315436 630872 1261744 2523488