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25200000 = 2732557
BaseRepresentation
bin110000000100…
…0010110000000
31202102021220100
41200020112000
522422400000
62300042400
7424124250
oct140102600
952367810
1025200000
1113252151
128533400
1352b4257
1434bd960
15232ba00
hex1808580

25200000 has 288 divisors, whose sum is σ = 103587120. Its totient is φ = 5760000.

The previous prime is 25199983. The next prime is 25200011. The reversal of 25200000 is 252.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3599997 + ... + 3600003.

Almost surely, 225200000 is an apocalyptic number.

25200000 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 25200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51793560).

25200000 is an abundant number, since it is smaller than the sum of its proper divisors (78387120).

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

25200000 is an frugal number, since it uses more digits than its factorization.

25200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 9.

The square root of 25200000 is about 5019.9601592045. The cubic root of 25200000 is about 293.1794417756.

Adding to 25200000 its reverse (252), we get a palindrome (25200252).

25200000 divided by its reverse (252) gives a 5-th power (100000 = 105).

The spelling of 25200000 in words is "twenty-five million, two hundred thousand".