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25142832 = 24331121337
BaseRepresentation
bin101111111101…
…0011000110000
31202022101111000
41133322120300
522414032312
62254522000
7423465501
oct137723060
952271430
1025142832
1113213200
128506300
135294220
1434a6ba8
152319adc
hex17fa630

25142832 has 240 divisors, whose sum is σ = 87737440. Its totient is φ = 6842880.

The previous prime is 25142809. The next prime is 25142849. The reversal of 25142832 is 23824152.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 25142796 and 25142805.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 679518 + ... + 679554.

Almost surely, 225142832 is an apocalyptic number.

25142832 is a gapful number since it is divisible by the number (22) 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 25142832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43868720).

25142832 is an abundant number, since it is smaller than the sum of its proper divisors (62594608).

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

25142832 is a wasteful number, since it uses less digits than its factorization.

25142832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89 (or 66 counting only the distinct ones).

The product of its digits is 3840, while the sum is 27.

The square root of 25142832 is about 5014.2628570908. The cubic root of 25142832 is about 292.9575744153.

Adding to 25142832 its reverse (23824152), we get a palindrome (48966984).

The spelling of 25142832 in words is "twenty-five million, one hundred forty-two thousand, eight hundred thirty-two".