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10025208 = 2338191
BaseRepresentation
bin100110001111…
…100011111000
3200212100000000
4212033203320
510031301313
6554513000
7151133004
oct46174370
920770000
1010025208
1157280a6
123435760
13210019b
14148d704
15d30673
hex98f8f8

10025208 has 72 divisors (see below), whose sum is σ = 28342080. Its totient is φ = 3324240.

The previous prime is 10025203. The next prime is 10025219. The reversal of 10025208 is 80252001.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10025201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 52393 + ... + 52583.

It is an arithmetic number, because the mean of its divisors is an integer number (393640).

Almost surely, 210025208 is an apocalyptic number.

10025208 is a gapful number since it is divisible by the number (18) 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 10025208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14171040).

10025208 is an abundant number, since it is smaller than the sum of its proper divisors (18316872).

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

10025208 is an frugal number, since it uses more digits than its factorization.

10025208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 10025208 is about 3166.2608862821. The cubic root of 10025208 is about 215.6243470680.

Adding to 10025208 its reverse (80252001), we get a palindrome (90277209).

The spelling of 10025208 in words is "ten million, twenty-five thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 191 216 243 324 382 486 573 648 729 764 972 1146 1458 1528 1719 1944 2187 2292 2916 3438 4374 4584 5157 5832 6561 6876 8748 10314 13122 13752 15471 17496 20628 26244 30942 41256 46413 52488 61884 92826 123768 139239 185652 278478 371304 417717 556956 835434 1113912 1253151 1670868 2506302 3341736 5012604 10025208