Search a number
-
+
392022 = 23229751
BaseRepresentation
bin1011111101101010110
3201220202100
41133231112
5100021042
612222530
73221631
oct1375526
9656670
10392022
11248594
1216aa46
13109587
14a2c18
157b24c
hex5fb56

392022 has 24 divisors (see below), whose sum is σ = 879840. Its totient is φ = 126000.

The previous prime is 392011. The next prime is 392033. The reversal of 392022 is 220293.

It is an interprime number because it is at equal distance from previous prime (392011) and next prime (392033).

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

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 391986 and 392004.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 392022.

It is an unprimeable number.

392022 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 147 + ... + 897.

It is an arithmetic number, because the mean of its divisors is an integer number (36660).

2392022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 392022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (439920).

392022 is an abundant number, since it is smaller than the sum of its proper divisors (487818).

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

392022 is a wasteful number, since it uses less digits than its factorization.

392022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 788 (or 785 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 392022 is about 626.1166025590. The cubic root of 392022 is about 73.1874833028.

It can be divided in two parts, 39202 and 2, that added together give a square (39204 = 1982).

The spelling of 392022 in words is "three hundred ninety-two thousand, twenty-two".

Divisors: 1 2 3 6 9 18 29 58 87 174 261 522 751 1502 2253 4506 6759 13518 21779 43558 65337 130674 196011 392022