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315252 = 22347139
BaseRepresentation
bin1001100111101110100
3121000110000
41030331310
540042002
610431300
72452050
oct1147564
9530400
10315252
111a5943
12132530
13b0652
1482c60
156361c
hex4cf74

315252 has 60 divisors (see below), whose sum is σ = 948640. Its totient is φ = 89424.

The previous prime is 315251. The next prime is 315257. The reversal of 315252 is 252513.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (315251) 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 19 ways as a sum of consecutive naturals, for example, 2199 + ... + 2337.

2315252 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 315252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (474320).

315252 is an abundant number, since it is smaller than the sum of its proper divisors (633388).

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

315252 is a wasteful number, since it uses less digits than its factorization.

315252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 151 counting only the distinct ones).

The product of its digits is 300, while the sum is 18.

The square root of 315252 is about 561.4730625774. The cubic root of 315252 is about 68.0590605689.

Adding to 315252 its reverse (252513), we get a palindrome (567765).

The spelling of 315252 in words is "three hundred fifteen thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 81 84 108 126 139 162 189 252 278 324 378 417 556 567 756 834 973 1134 1251 1668 1946 2268 2502 2919 3753 3892 5004 5838 7506 8757 11259 11676 15012 17514 22518 26271 35028 45036 52542 78813 105084 157626 315252