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4525632 = 263697
BaseRepresentation
bin10001010000111001000000
322111221000000
4101100321000
52124310012
6241000000
753316156
oct21207100
98457000
104525632
1126111a1
121623000
13c25bb7
1485b3d6
155e5ddc
hex450e40

4525632 has 98 divisors (see below), whose sum is σ = 13603478. Its totient is φ = 1492992.

The previous prime is 4525627. The next prime is 4525663. The reversal of 4525632 is 2365254.

4525632 is a `hidden beast` number, since 4 + 5 + 25 + 632 = 666.

It can be written as a sum of positive squares in only one way, i.e., 3779136 + 746496 = 1944^2 + 864^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an alternating number because its digits alternate between even and odd.

It is a junction number, because it is equal to n+sod(n) for n = 4525596 and 4525605.

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 13 ways as a sum of consecutive naturals, for example, 46608 + ... + 46704.

It is an arithmetic number, because the mean of its divisors is an integer number (138811).

Almost surely, 24525632 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 4525632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6801739).

4525632 is an abundant number, since it is smaller than the sum of its proper divisors (9077846).

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

4525632 is an frugal number, since it uses more digits than its factorization.

4525632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 102 counting only the distinct ones).

The product of its digits is 7200, while the sum is 27.

The square root of 4525632 is about 2127.3532851880. The cubic root of 4525632 is about 165.4092321195.

It can be divided in two parts, 452 and 5632, that added together give a square (6084 = 782).

The spelling of 4525632 in words is "four million, five hundred twenty-five thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 97 108 144 162 192 194 216 243 288 291 324 388 432 486 576 582 648 729 776 864 873 972 1164 1296 1458 1552 1728 1746 1944 2328 2592 2619 2916 3104 3492 3888 4656 5184 5238 5832 6208 6984 7776 7857 9312 10476 11664 13968 15552 15714 18624 20952 23328 23571 27936 31428 41904 46656 47142 55872 62856 70713 83808 94284 125712 141426 167616 188568 251424 282852 377136 502848 565704 754272 1131408 1508544 2262816 4525632