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315230552 = 23713569761
BaseRepresentation
bin10010110010100…
…000100101011000
3210222011101000122
4102302200211120
51121144334202
651140252412
710545262340
oct2262404530
9728141018
10315230552
11151a3741a
12896a1108
1350401370
142dc19d20
151ca1b9a2
hex12ca0958

315230552 has 64 divisors (see below), whose sum is σ = 729691200. Its totient is φ = 124323840.

The previous prime is 315230543. The next prime is 315230621. The reversal of 315230552 is 255032513.

315230552 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 413852 + ... + 414612.

It is an arithmetic number, because the mean of its divisors is an integer number (11401425).

Almost surely, 2315230552 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 315230552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (364845600).

315230552 is an abundant number, since it is smaller than the sum of its proper divisors (414460648).

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

315230552 is a wasteful number, since it uses less digits than its factorization.

315230552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1356 (or 1352 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 26.

The square root of 315230552 is about 17754.7332280719. The cubic root of 315230552 is about 680.5751708001.

The spelling of 315230552 in words is "three hundred fifteen million, two hundred thirty thousand, five hundred fifty-two".

Divisors: 1 2 4 7 8 13 14 26 28 52 56 91 104 182 364 569 728 761 1138 1522 2276 3044 3983 4552 5327 6088 7397 7966 9893 10654 14794 15932 19786 21308 29588 31864 39572 42616 51779 59176 69251 79144 103558 138502 207116 277004 414232 433009 554008 866018 1732036 3031063 3464072 5629117 6062126 11258234 12124252 22516468 24248504 39403819 45032936 78807638 157615276 315230552