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25575000 = 233551131
BaseRepresentation
bin110000110001…
…1111001011000
31210010100022020
41201203321120
523021400000
62312054440
7430245453
oct141437130
953110266
1025575000
1113488970
128694420
1353b5b49
14357a49a
1523a2ba0
hex1863e58

25575000 has 192 divisors, whose sum is σ = 89994240. Its totient is φ = 6000000.

The previous prime is 25574977. The next prime is 25575001. The reversal of 25575000 is 57552.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25575001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 824985 + ... + 825015.

It is an arithmetic number, because the mean of its divisors is an integer number (468720).

Almost surely, 225575000 is an apocalyptic number.

25575000 is a gapful number since it is divisible by the number (20) 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 25575000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44997120).

25575000 is an abundant number, since it is smaller than the sum of its proper divisors (64419240).

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

25575000 is a wasteful number, since it uses less digits than its factorization.

25575000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 1750, while the sum is 24.

The square root of 25575000 is about 5057.1731233961. The cubic root of 25575000 is about 294.6265503241.

It can be divided in two parts, 2557 and 5000, that added together give a palindrome (7557).

The spelling of 25575000 in words is "twenty-five million, five hundred seventy-five thousand".