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25338240 = 273255383
BaseRepresentation
bin110000010101…
…0000110000000
31202200022112100
41200222012000
522441310430
62303030400
7425241264
oct140520600
952608470
1025338240
1113336aa4
12859b400
135332155
1435180a4
152357960
hex182a180

25338240 has 192 divisors, whose sum is σ = 90221040. Its totient is φ = 6549504.

The previous prime is 25338239. The next prime is 25338277. The reversal of 25338240 is 4283352.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 305239 + ... + 305321.

Almost surely, 225338240 is an apocalyptic number.

25338240 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 25338240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45110520).

25338240 is an abundant number, since it is smaller than the sum of its proper divisors (64882800).

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

25338240 is a wasteful number, since it uses less digits than its factorization.

25338240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 25338240 is about 5033.7103611551. The cubic root of 25338240 is about 293.7145640067.

The spelling of 25338240 in words is "twenty-five million, three hundred thirty-eight thousand, two hundred forty".