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4525824 = 2837183
BaseRepresentation
bin10001010000111100000000
322111221021010
4101100330000
52124311244
6241000520
753316552
oct21207400
98457233
104525824
112611356
121623140
13c26004
1485b4d2
155e5eb9
hex450f00

4525824 has 72 divisors (see below), whose sum is σ = 12362112. Its totient is φ = 1469440.

The previous prime is 4525823. The next prime is 4525837. The reversal of 4525824 is 4285254.

It is a junction number, because it is equal to n+sod(n) for n = 4525791 and 4525800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4525823) 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, 54487 + ... + 54569.

It is an arithmetic number, because the mean of its divisors is an integer number (171696).

Almost surely, 24525824 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 4525824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6181056).

4525824 is an abundant number, since it is smaller than the sum of its proper divisors (7836288).

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

4525824 is an equidigital number, since it uses as much as digits as its factorization.

4525824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173 (or 159 counting only the distinct ones).

The product of its digits is 12800, while the sum is 30.

The square root of 4525824 is about 2127.3984112056. The cubic root of 4525824 is about 165.4115712494.

The spelling of 4525824 in words is "four million, five hundred twenty-five thousand, eight hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 71 83 96 128 142 166 192 213 249 256 284 332 384 426 498 568 664 768 852 996 1136 1328 1704 1992 2272 2656 3408 3984 4544 5312 5893 6816 7968 9088 10624 11786 13632 15936 17679 18176 21248 23572 27264 31872 35358 47144 54528 63744 70716 94288 141432 188576 282864 377152 565728 754304 1131456 1508608 2262912 4525824