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246272 = 291337
BaseRepresentation
bin111100001000000000
3110111211012
4330020000
530340042
65140052
72043665
oct741000
9414735
10246272
11159034
12ba628
1388130
1465a6c
154ce82
hex3c200

246272 has 40 divisors (see below), whose sum is σ = 544236. Its totient is φ = 110592.

The previous prime is 246271. The next prime is 246277. The reversal of 246272 is 272642.

It can be written as a sum of positive squares in 2 ways, for example, as 246016 + 256 = 496^2 + 16^2 .

It is a nialpdrome in base 8.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 246272.

It is not an unprimeable number, because it can be changed into a prime (246271) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6638 + ... + 6674.

2246272 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 246272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272118).

246272 is an abundant number, since it is smaller than the sum of its proper divisors (297964).

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

246272 is an equidigital number, since it uses as much as digits as its factorization.

246272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68 (or 52 counting only the distinct ones).

The product of its digits is 1344, while the sum is 23.

The square root of 246272 is about 496.2579974167. The cubic root of 246272 is about 62.6813506156.

The spelling of 246272 in words is "two hundred forty-six thousand, two hundred seventy-two".

Divisors: 1 2 4 8 13 16 26 32 37 52 64 74 104 128 148 208 256 296 416 481 512 592 832 962 1184 1664 1924 2368 3328 3848 4736 6656 7696 9472 15392 18944 30784 61568 123136 246272