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2504424 = 2331323349
BaseRepresentation
bin1001100011011011101000
311201020102110
421203123220
51120120144
6125402320
730200346
oct11433350
94636373
102504424
11146067a
12a093a0
13698c10
14492996
153470b9
hex2636e8

2504424 has 64 divisors (see below), whose sum is σ = 7056000. Its totient is φ = 734976.

The previous prime is 2504417. The next prime is 2504429. The reversal of 2504424 is 4244052.

2504424 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 2504424.

It is not an unprimeable number, because it can be changed into a prime (2504429) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7002 + ... + 7350.

It is an arithmetic number, because the mean of its divisors is an integer number (110250).

22504424 is an apocalyptic number.

2504424 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2504424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3528000).

2504424 is an abundant number, since it is smaller than the sum of its proper divisors (4551576).

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

2504424 is a wasteful number, since it uses less digits than its factorization.

2504424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 394 (or 390 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 21.

The square root of 2504424 is about 1582.5372033542. The cubic root of 2504424 is about 135.8008908766.

Adding to 2504424 its reverse (4244052), we get a palindrome (6748476).

The spelling of 2504424 in words is "two million, five hundred four thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 13 23 24 26 39 46 52 69 78 92 104 138 156 184 276 299 312 349 552 598 698 897 1047 1196 1396 1794 2094 2392 2792 3588 4188 4537 7176 8027 8376 9074 13611 16054 18148 24081 27222 32108 36296 48162 54444 64216 96324 104351 108888 192648 208702 313053 417404 626106 834808 1252212 2504424