Search a number
-
+
315627208 = 231313123167
BaseRepresentation
bin10010110100000…
…001011011001000
3210222220112010121
4102310001123020
51121300032313
651152553024
710551533641
oct2264013310
9728815117
10315627208
11152188436
1289852774
135050ca80
142dcc06c8
151ca9928d
hex12d016c8

315627208 has 32 divisors (see below), whose sum is σ = 642216960. Its totient is φ = 144555840.

The previous prime is 315627203. The next prime is 315627211. The reversal of 315627208 is 802726513.

It is a happy number.

It is a Smith number, since the sum of its digits (34) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (315627203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2041 + ... + 25207.

It is an arithmetic number, because the mean of its divisors is an integer number (20069280).

Almost surely, 2315627208 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 315627208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321108480).

315627208 is an abundant number, since it is smaller than the sum of its proper divisors (326589752).

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

315627208 is a wasteful number, since it uses less digits than its factorization.

315627208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23317 (or 23313 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 34.

The square root of 315627208 is about 17765.9001460663. The cubic root of 315627208 is about 680.8605080706.

The spelling of 315627208 in words is "three hundred fifteen million, six hundred twenty-seven thousand, two hundred eight".

Divisors: 1 2 4 8 13 26 52 104 131 262 524 1048 1703 3406 6812 13624 23167 46334 92668 185336 301171 602342 1204684 2409368 3034877 6069754 12139508 24279016 39453401 78906802 157813604 315627208