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379962 = 2321119101
BaseRepresentation
bin1011100110000111010
3201022012200
41130300322
544124322
612051030
73141522
oct1346072
9638180
10379962
1123a520
12163a76
13103c3b
149c682
15778ac
hex5cc3a

379962 has 48 divisors (see below), whose sum is σ = 954720. Its totient is φ = 108000.

The previous prime is 379931. The next prime is 379963. The reversal of 379962 is 269973.

It is a super-2 number, since 2×3799622 = 288742242888, which contains 22 as substring.

It is a plaindrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (379963) by changing a digit.

379962 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 23 ways as a sum of consecutive naturals, for example, 3712 + ... + 3812.

It is an arithmetic number, because the mean of its divisors is an integer number (19890).

2379962 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 379962, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (477360).

379962 is an abundant number, since it is smaller than the sum of its proper divisors (574758).

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

379962 is a wasteful number, since it uses less digits than its factorization.

379962 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139 (or 136 counting only the distinct ones).

The product of its digits is 20412, while the sum is 36.

The square root of 379962 is about 616.4105774563. The cubic root of 379962 is about 72.4291499685.

It can be divided in two parts, 37 and 9962, that added together give a palindrome (9999).

The spelling of 379962 in words is "three hundred seventy-nine thousand, nine hundred sixty-two".

Divisors: 1 2 3 6 9 11 18 19 22 33 38 57 66 99 101 114 171 198 202 209 303 342 418 606 627 909 1111 1254 1818 1881 1919 2222 3333 3762 3838 5757 6666 9999 11514 17271 19998 21109 34542 42218 63327 126654 189981 379962