Search a number
-
+
412172288 = 214112287
BaseRepresentation
bin11000100100010…
…100000000000000
31001201120112002022
4120210110000000
51321004003123
6104522141012
713133256323
oct3044240000
91051515068
10412172288
111a172a160
12b6051768
1367513b38
143ca527ba
15262ba1c8
hex18914000

412172288 has 60 divisors (see below), whose sum is σ = 899650752. Its totient is φ = 187269120.

The previous prime is 412172287. The next prime is 412172297. The reversal of 412172288 is 882271214.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (412172287) 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, 179081 + ... + 181367.

Almost surely, 2412172288 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 412172288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (449825376).

412172288 is an abundant number, since it is smaller than the sum of its proper divisors (487478464).

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

412172288 is an equidigital number, since it uses as much as digits as its factorization.

412172288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2326 (or 2300 counting only the distinct ones).

The product of its digits is 14336, while the sum is 35.

The square root of 412172288 is about 20302.0266968596. The cubic root of 412172288 is about 744.2055931610.

The spelling of 412172288 in words is "four hundred twelve million, one hundred seventy-two thousand, two hundred eighty-eight".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 256 352 512 704 1024 1408 2048 2287 2816 4096 4574 5632 8192 9148 11264 16384 18296 22528 25157 36592 45056 50314 73184 90112 100628 146368 180224 201256 292736 402512 585472 805024 1170944 1610048 2341888 3220096 4683776 6440192 9367552 12880384 18735104 25760768 37470208 51521536 103043072 206086144 412172288