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5322624 = 27383167
BaseRepresentation
bin10100010011011110000000
3101000102021020
4110103132000
52330310444
6310025440
763145566
oct24233600
911012236
105322624
113005a6a
121948280
1311448a8
149c7a36
15702119
hex513780

5322624 has 64 divisors (see below), whose sum is σ = 14394240. Its totient is φ = 1742336.

The previous prime is 5322623. The next prime is 5322643. The reversal of 5322624 is 4262235.

It is a tau number, because it is divible by the number of its divisors (64).

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 57 + 35 + 26 + 220 + 64 + 222 + 42 .

It is a junction number, because it is equal to n+sod(n) for n = 5322594 and 5322603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5322623) 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, 31789 + ... + 31955.

It is an arithmetic number, because the mean of its divisors is an integer number (224910).

Almost surely, 25322624 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 5322624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7197120).

5322624 is an abundant number, since it is smaller than the sum of its proper divisors (9071616).

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

5322624 is a wasteful number, since it uses less digits than its factorization.

5322624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267 (or 255 counting only the distinct ones).

The product of its digits is 2880, while the sum is 24.

The square root of 5322624 is about 2307.0812729507. The cubic root of 5322624 is about 174.5990712809.

Adding to 5322624 its reverse (4262235), we get a palindrome (9584859).

The spelling of 5322624 in words is "five million, three hundred twenty-two thousand, six hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 83 96 128 166 167 192 249 332 334 384 498 501 664 668 996 1002 1328 1336 1992 2004 2656 2672 3984 4008 5312 5344 7968 8016 10624 10688 13861 15936 16032 21376 27722 31872 32064 41583 55444 64128 83166 110888 166332 221776 332664 443552 665328 887104 1330656 1774208 2661312 5322624