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256610112 = 26311121501
BaseRepresentation
bin11110100101110…
…00111101000000
3122212212010220020
433102320331000
51011143010422
641244013440
76234102303
oct1722707500
9585763806
10256610112
11121938a80
1271b31280
1341218305
142611ab3a
15177dc95c
hexf4b8f40

256610112 has 56 divisors (see below), whose sum is σ = 740676192. Its totient is φ = 77760000.

The previous prime is 256610099. The next prime is 256610113. The reversal of 256610112 is 211016652.

256610112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (256610113) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 58639 + ... + 62862.

Almost surely, 2256610112 is an apocalyptic number.

256610112 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

256610112 is an abundant number, since it is smaller than the sum of its proper divisors (484066080).

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

256610112 is a wasteful number, since it uses less digits than its factorization.

256610112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121527 (or 121517 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

The square root of 256610112 is about 16019.0546537553. The cubic root of 256610112 is about 635.4644437358.

Adding to 256610112 its reverse (211016652), we get a palindrome (467626764).

The spelling of 256610112 in words is "two hundred fifty-six million, six hundred ten thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 132 176 192 264 352 528 704 1056 2112 121501 243002 364503 486004 729006 972008 1336511 1458012 1944016 2673022 2916024 3888032 4009533 5346044 5832048 7776064 8019066 10692088 11664096 16038132 21384176 23328192 32076264 42768352 64152528 85536704 128305056 256610112