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399492 = 2236137
BaseRepresentation
bin1100001100010000100
3202022000000
41201202010
5100240432
612321300
73252462
oct1414204
9668000
10399492
11253165
12173230
1310cab2
14a5832
157d57c
hex61884

399492 has 42 divisors (see below), whose sum is σ = 1055838. Its totient is φ = 132192.

The previous prime is 399491. The next prime is 399493. The reversal of 399492 is 294993.

It is an interprime number because it is at equal distance from previous prime (399491) and next prime (399493).

It can be written as a sum of positive squares in only one way, i.e., 352836 + 46656 = 594^2 + 216^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

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 399492.

It is not an unprimeable number, because it can be changed into a prime (399491) by changing a digit.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 2848 + ... + 2984.

It is an arithmetic number, because the mean of its divisors is an integer number (25139).

399492 is a Friedman number, since it can be written as 4932*9*9, using all its digits and the basic arithmetic operations.

2399492 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 399492, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (527919).

399492 is an abundant number, since it is smaller than the sum of its proper divisors (656346).

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

399492 is a wasteful number, since it uses less digits than its factorization.

399492 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 142 counting only the distinct ones).

The product of its digits is 17496, while the sum is 36.

The square root of 399492 is about 632.0537951789. The cubic root of 399492 is about 73.6494252924.

The spelling of 399492 in words is "three hundred ninety-nine thousand, four hundred ninety-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 137 162 243 274 324 411 486 548 729 822 972 1233 1458 1644 2466 2916 3699 4932 7398 11097 14796 22194 33291 44388 66582 99873 133164 199746 399492