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379128252 = 223298912241
BaseRepresentation
bin10110100110010…
…000100110111100
3222102101201012010
4112212100212330
51234024101002
6101342011220
712252352116
oct2646204674
9872351163
10379128252
1118500a738
12a6b76b10
1360714459
14384d03b6
152343e46c
hex169909bc

379128252 has 48 divisors (see below), whose sum is σ = 925495200. Its totient is φ = 120637440.

The previous prime is 379128247. The next prime is 379128259. The reversal of 379128252 is 252821973.

379128252 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 379128252.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (379128259) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24852 + ... + 37092.

It is an arithmetic number, because the mean of its divisors is an integer number (19281150).

Almost surely, 2379128252 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 379128252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (462747600).

379128252 is an abundant number, since it is smaller than the sum of its proper divisors (546366948).

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

379128252 is a wasteful number, since it uses less digits than its factorization.

379128252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12366 (or 12364 counting only the distinct ones).

The product of its digits is 60480, while the sum is 39.

The square root of 379128252 is about 19471.2159866815. The cubic root of 379128252 is about 723.7613424385.

It can be divided in two parts, 37912 and 8252, that added together give a palindrome (46164).

The spelling of 379128252 in words is "three hundred seventy-nine million, one hundred twenty-eight thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 12 29 58 87 89 116 174 178 267 348 356 534 1068 2581 5162 7743 10324 12241 15486 24482 30972 36723 48964 73446 146892 354989 709978 1064967 1089449 1419956 2129934 2178898 3268347 4259868 4357796 6536694 13073388 31594021 63188042 94782063 126376084 189564126 379128252