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25500132 = 22327472153
BaseRepresentation
bin110000101000…
…1100111100100
31202222112121100
41201101213210
523012001012
62310320100
7426514260
oct141214744
952875540
1025500132
1113437699
128659030
13538aa48
14355b0a0
15238a8dc
hex18519e4

25500132 has 72 divisors (see below), whose sum is σ = 75269376. Its totient is φ = 7127424.

The previous prime is 25500131. The next prime is 25500149. The reversal of 25500132 is 23100552.

It is a happy number.

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 (25500131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10768 + ... + 12920.

It is an arithmetic number, because the mean of its divisors is an integer number (1045408).

Almost surely, 225500132 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 25500132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37634688).

25500132 is an abundant number, since it is smaller than the sum of its proper divisors (49769244).

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

25500132 is a wasteful number, since it uses less digits than its factorization.

25500132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2217 (or 2212 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 25500132 is about 5049.7655391117. The cubic root of 25500132 is about 294.3387737211.

Adding to 25500132 its reverse (23100552), we get a palindrome (48600684).

The spelling of 25500132 in words is "twenty-five million, five hundred thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 47 63 84 94 126 141 188 252 282 329 423 564 658 846 987 1316 1692 1974 2153 2961 3948 4306 5922 6459 8612 11844 12918 15071 19377 25836 30142 38754 45213 60284 77508 90426 101191 135639 180852 202382 271278 303573 404764 542556 607146 708337 910719 1214292 1416674 1821438 2125011 2833348 3642876 4250022 6375033 8500044 12750066 25500132