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40256 = 261737
BaseRepresentation
bin1001110101000000
32001012222
421311000
52242011
6510212
7225236
oct116500
961188
1040256
1128277
121b368
1315428
1410956
15bddb
hex9d40

40256 has 28 divisors (see below), whose sum is σ = 86868. Its totient is φ = 18432.

The previous prime is 40253. The next prime is 40277. The reversal of 40256 is 65204.

40256 is nontrivially palindromic in base 15.

It can be written as a sum of positive squares in 2 ways, for example, as 33856 + 6400 = 184^2 + 80^2 .

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40253) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1070 + ... + 1106.

240256 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 40256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43434).

40256 is an abundant number, since it is smaller than the sum of its proper divisors (46612).

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

40256 is a wasteful number, since it uses less digits than its factorization.

40256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66 (or 56 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 17.

The square root of 40256 is about 200.6389792638. The cubic root of 40256 is about 34.2723228125.

The spelling of 40256 in words is "forty thousand, two hundred fifty-six".

Divisors: 1 2 4 8 16 17 32 34 37 64 68 74 136 148 272 296 544 592 629 1088 1184 1258 2368 2516 5032 10064 20128 40256