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2531424 = 25373767
BaseRepresentation
bin1001101010000001100000
311202121110110
421222001200
51122001144
6130131320
730342150
oct11520140
94677413
102531424
111479995
12a20b40
136a82ac
1449c760
153500b9
hex26a060

2531424 has 48 divisors (see below), whose sum is σ = 7596288. Its totient is φ = 723072.

The previous prime is 2531423. The next prime is 2531443. The reversal of 2531424 is 4241352.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a zygodrome in base 5.

It is a self number, because there is not a number n which added to its sum of digits gives 2531424.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2531423) 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, 1212 + ... + 2555.

It is an arithmetic number, because the mean of its divisors is an integer number (158256).

22531424 is an apocalyptic number.

2531424 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2531424 is an abundant number, since it is smaller than the sum of its proper divisors (5064864).

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

2531424 is a wasteful number, since it uses less digits than its factorization.

2531424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3787 (or 3779 counting only the distinct ones).

The product of its digits is 960, while the sum is 21.

The square root of 2531424 is about 1591.0449396544. The cubic root of 2531424 is about 136.2871671462.

Adding to 2531424 its reverse (4241352), we get a palindrome (6772776).

The spelling of 2531424 in words is "two million, five hundred thirty-one thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 3767 7534 11301 15068 22602 26369 30136 45204 52738 60272 79107 90408 105476 120544 158214 180816 210952 316428 361632 421904 632856 843808 1265712 2531424