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399152 = 241319101
BaseRepresentation
bin1100001011100110000
3202021112102
41201130300
5100233102
612315532
73251465
oct1413460
9667472
10399152
11252986
12172ba8
1310c8b0
14a566c
157d402
hex61730

399152 has 40 divisors (see below), whose sum is σ = 885360. Its totient is φ = 172800.

The previous prime is 399151. The next prime is 399163. The reversal of 399152 is 251993.

Its product of digits (2430) is a multiple of the sum of its prime divisors (135).

It is not an unprimeable number, because it can be changed into a prime (399151) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3902 + ... + 4002.

It is an arithmetic number, because the mean of its divisors is an integer number (22134).

2399152 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 399152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (442680).

399152 is an abundant number, since it is smaller than the sum of its proper divisors (486208).

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

399152 is a wasteful number, since it uses less digits than its factorization.

399152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 135 counting only the distinct ones).

The product of its digits is 2430, while the sum is 29.

The square root of 399152 is about 631.7847734791. The cubic root of 399152 is about 73.6285254898.

The spelling of 399152 in words is "three hundred ninety-nine thousand, one hundred fifty-two".

Divisors: 1 2 4 8 13 16 19 26 38 52 76 101 104 152 202 208 247 304 404 494 808 988 1313 1616 1919 1976 2626 3838 3952 5252 7676 10504 15352 21008 24947 30704 49894 99788 199576 399152