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399252 = 2237397
BaseRepresentation
bin1100001011110010100
3202021200010
41201132110
5100234002
612320220
73252000
oct1413624
9667603
10399252
11252a67
12173070
1310c959
14a5700
157d46c
hex61794

399252 has 48 divisors (see below), whose sum is σ = 1097600. Its totient is φ = 112896.

The previous prime is 399241. The next prime is 399263. The reversal of 399252 is 252993.

It is an interprime number because it is at equal distance from previous prime (399241) and next prime (399263).

It is a d-powerful number, because it can be written as 38 + 9 + 210 + 9 + 58 + 210 .

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 399252.

It is an unprimeable number.

399252 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 15 ways as a sum of consecutive naturals, for example, 4068 + ... + 4164.

2399252 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 399252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (548800).

399252 is an abundant number, since it is smaller than the sum of its proper divisors (698348).

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

399252 is a wasteful number, since it uses less digits than its factorization.

399252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 109 counting only the distinct ones).

The product of its digits is 4860, while the sum is 30.

The square root of 399252 is about 631.8639093982. The cubic root of 399252 is about 73.6346737221.

The spelling of 399252 in words is "three hundred ninety-nine thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 84 97 98 147 194 196 291 294 343 388 582 588 679 686 1029 1164 1358 1372 2037 2058 2716 4074 4116 4753 8148 9506 14259 19012 28518 33271 57036 66542 99813 133084 199626 399252