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25885440 = 283357107
BaseRepresentation
bin110001010111…
…1101100000000
31210201010011000
41202233230000
523111313230
62322452000
7433010520
oct142575400
953633130
1025885440
1113680129
128804000
135494239
14361b680
152414b60
hex18afb00

25885440 has 288 divisors, whose sum is σ = 105960960. Its totient is φ = 5861376.

The previous prime is 25885427. The next prime is 25885493. The reversal of 25885440 is 4458852.

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 (36).

It is a junction number, because it is equal to n+sod(n) for n = 25885395 and 25885404.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 241867 + ... + 241973.

It is an arithmetic number, because the mean of its divisors is an integer number (367920).

Almost surely, 225885440 is an apocalyptic number.

25885440 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 25885440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52980480).

25885440 is an abundant number, since it is smaller than the sum of its proper divisors (80075520).

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

25885440 is a wasteful number, since it uses less digits than its factorization.

25885440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 51200, while the sum is 36.

The square root of 25885440 is about 5087.7735798677. The cubic root of 25885440 is about 295.8138591073.

The spelling of 25885440 in words is "twenty-five million, eight hundred eighty-five thousand, four hundred forty".