Search a number
-
+
426852 = 223271167
BaseRepresentation
bin1101000001101100100
3210200112100
41220031210
5102124402
613052100
73425316
oct1501544
9720470
10426852
11271778
12187030
1311c39a
14b17b6
158671c
hex68364

426852 has 36 divisors (see below), whose sum is σ = 1100736. Its totient is φ = 139440.

The previous prime is 426841. The next prime is 426859. The reversal of 426852 is 258624.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-3 number, since 3×4268523 = 233320670939346624, which contains 333 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (426859) by changing a digit.

426852 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2473 + ... + 2639.

It is an arithmetic number, because the mean of its divisors is an integer number (30576).

2426852 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 426852, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (550368).

426852 is an abundant number, since it is smaller than the sum of its proper divisors (673884).

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

426852 is a wasteful number, since it uses less digits than its factorization.

426852 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248 (or 243 counting only the distinct ones).

The product of its digits is 3840, while the sum is 27.

The square root of 426852 is about 653.3391156207. The cubic root of 426852 is about 75.2937810666.

The spelling of 426852 in words is "four hundred twenty-six thousand, eight hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 36 71 142 167 213 284 334 426 501 639 668 852 1002 1278 1503 2004 2556 3006 6012 11857 23714 35571 47428 71142 106713 142284 213426 426852