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255642016 = 257323291
BaseRepresentation
bin11110011110011…
…00100110100000
3122211000221220211
433033030212200
51010421021031
641211143504
76222631000
oct1717144640
9584027824
10255642016
111213376a3
1271744b94
1340c69786
1425d48000
151769abb1
hexf3cc9a0

255642016 has 48 divisors (see below), whose sum is σ = 586958400. Its totient is φ = 109556160.

The previous prime is 255641959. The next prime is 255642019. The reversal of 255642016 is 610246552.

255642016 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (255642019) 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, 670 + ... + 22621.

It is an arithmetic number, because the mean of its divisors is an integer number (12228300).

Almost surely, 2255642016 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 255642016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293479200).

255642016 is an abundant number, since it is smaller than the sum of its proper divisors (331316384).

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

255642016 is an equidigital number, since it uses as much as digits as its factorization.

255642016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23322 (or 23300 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 31.

The square root of 255642016 is about 15988.8090863579. The cubic root of 255642016 is about 634.6643117944.

Adding to 255642016 its reverse (610246552), we get a palindrome (865888568).

The spelling of 255642016 in words is "two hundred fifty-five million, six hundred forty-two thousand, sixteen".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 98 112 196 224 343 392 686 784 1372 1568 2744 5488 10976 23291 46582 93164 163037 186328 326074 372656 652148 745312 1141259 1304296 2282518 2608592 4565036 5217184 7988813 9130072 15977626 18260144 31955252 36520288 63910504 127821008 255642016