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392490 = 23257289
BaseRepresentation
bin1011111110100101010
3201221101200
41133310222
5100024430
612225030
73223200
oct1376452
9657350
10392490
1124897a
1216b176
13109857
14a3070
157b460
hex5fd2a

392490 has 72 divisors (see below), whose sum is σ = 1200420. Its totient is φ = 88704.

The previous prime is 392489. The next prime is 392503. The reversal of 392490 is 94293.

392490 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 370881 + 21609 = 609^2 + 147^2 .

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4366 + ... + 4454.

2392490 is an apocalyptic number.

392490 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 392490, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (600210).

392490 is an abundant number, since it is smaller than the sum of its proper divisors (807930).

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

392490 is a wasteful number, since it uses less digits than its factorization.

392490 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 392490 is about 626.4902233874. The cubic root of 392490 is about 73.2165957176.

The spelling of 392490 in words is "three hundred ninety-two thousand, four hundred ninety".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 49 63 70 89 90 98 105 126 147 178 210 245 267 294 315 441 445 490 534 623 630 735 801 882 890 1246 1335 1470 1602 1869 2205 2670 3115 3738 4005 4361 4410 5607 6230 8010 8722 9345 11214 13083 18690 21805 26166 28035 39249 43610 56070 65415 78498 130830 196245 392490