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25775640 = 233251123283
BaseRepresentation
bin110001001010…
…0111000011000
31210111112112100
41202110320120
523044310030
62320243400
7432042432
oct142247030
953445470
1025775640
1113605690
128770560
135456277
1435cd652
1523e2360
hex1894e18

25775640 has 192 divisors, whose sum is σ = 95696640. Its totient is φ = 5955840.

The previous prime is 25775597. The next prime is 25775657. The reversal of 25775640 is 4657752.

25775640 is a `hidden beast` number, since 2 + 5 + 7 + 7 + 5 + 640 = 666.

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 = 25775595 and 25775604.

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, 90939 + ... + 91221.

It is an arithmetic number, because the mean of its divisors is an integer number (498420).

Almost surely, 225775640 is an apocalyptic number.

25775640 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 25775640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47848320).

25775640 is an abundant number, since it is smaller than the sum of its proper divisors (69921000).

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

25775640 is a wasteful number, since it uses less digits than its factorization.

25775640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 334 (or 327 counting only the distinct ones).

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

The square root of 25775640 is about 5076.9715382302. The cubic root of 25775640 is about 295.3950085235.

The spelling of 25775640 in words is "twenty-five million, seven hundred seventy-five thousand, six hundred forty".