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25765740 = 223257112132
BaseRepresentation
bin110001001001…
…0011101101100
31210111000221200
41202102131230
523044000430
62320125500
7432001530
oct142223554
953430850
1025765740
11135a9200
128766890
135451900
1435c9bc0
1523de460
hex189276c

25765740 has 324 divisors, whose sum is σ = 106312752. Its totient is φ = 4942080.

The previous prime is 25765739. The next prime is 25765757. The reversal of 25765740 is 4756752.

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 = 25765695 and 25765704.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 1981974 + ... + 1981986.

It is a vampire number, since it can be written as 46205577 (with its own digits).

Almost surely, 225765740 is an apocalyptic number.

25765740 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 25765740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53156376).

25765740 is an abundant number, since it is smaller than the sum of its proper divisors (80547012).

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

25765740 is a wasteful number, since it uses less digits than its factorization.

25765740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 58800, while the sum is 36.

The square root of 25765740 is about 5075.9964538995. The cubic root of 25765740 is about 295.3571848902.

Adding to 25765740 its sum of digits (36), we get a square (25765776 = 50762).

The spelling of 25765740 in words is "twenty-five million, seven hundred sixty-five thousand, seven hundred forty".