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5423424 = 26347601
BaseRepresentation
bin10100101100000101000000
3101012112112120
4110230011000
52342022144
6312124240
764045506
oct24540500
911175476
105423424
113074776
121996680
13117b736
14a12676
15721e19
hex52c140

5423424 has 56 divisors (see below), whose sum is σ = 14679168. Its totient is φ = 1766400.

The previous prime is 5423401. The next prime is 5423441. The reversal of 5423424 is 4243245.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a d-powerful number, because it can be written as 55 + 42 + 221 + 311 + 44 + 221 + 410 .

It is a junction number, because it is equal to n+sod(n) for n = 5423394 and 5423403.

It is a congruent number.

It is an unprimeable number.

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, 8724 + ... + 9324.

It is an arithmetic number, because the mean of its divisors is an integer number (262128).

Almost surely, 25423424 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 5423424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7339584).

5423424 is an abundant number, since it is smaller than the sum of its proper divisors (9255744).

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

5423424 is a wasteful number, since it uses less digits than its factorization.

5423424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 663 (or 653 counting only the distinct ones).

The product of its digits is 3840, while the sum is 24.

The square root of 5423424 is about 2328.8245962287. The cubic root of 5423424 is about 175.6943731625.

Subtracting from 5423424 its product of digits (3840), we obtain a square (5419584 = 23282).

Adding to 5423424 its reverse (4243245), we get a palindrome (9666669).

The spelling of 5423424 in words is "five million, four hundred twenty-three thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 47 48 64 94 96 141 188 192 282 376 564 601 752 1128 1202 1504 1803 2256 2404 3008 3606 4512 4808 7212 9024 9616 14424 19232 28247 28848 38464 56494 57696 84741 112988 115392 169482 225976 338964 451952 677928 903904 1355856 1807808 2711712 5423424