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392000 = 265372
BaseRepresentation
bin1011111101101000000
3201220201112
41133231000
5100021000
612222452
73221600
oct1375500
9656645
10392000
11248574
1216aa28
1310956b
14a2c00
157b235
hex5fb40

392000 has 84 divisors (see below), whose sum is σ = 1129284. Its totient is φ = 134400.

The previous prime is 391999. The next prime is 392011. The reversal of 392000 is 293.

392000 = T8 + T9 + ... + T132.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 12544 + 379456 = 112^2 + 616^2 .

It is a hoax number, since the sum of its digits (14) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 55997 + ... + 56003.

2392000 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 392000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (564642).

392000 is an abundant number, since it is smaller than the sum of its proper divisors (737284).

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

392000 is an equidigital number, since it uses as much as digits as its factorization.

392000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41 (or 14 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 14.

The square root of 392000 is about 626.0990336999. The cubic root of 392000 is about 73.1861142005.

Adding to 392000 its reverse (293), we get a palindrome (392293).

The spelling of 392000 in words is "three hundred ninety-two thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 49 50 56 64 70 80 98 100 112 125 140 160 175 196 200 224 245 250 280 320 350 392 400 448 490 500 560 700 784 800 875 980 1000 1120 1225 1400 1568 1600 1750 1960 2000 2240 2450 2800 3136 3500 3920 4000 4900 5600 6125 7000 7840 8000 9800 11200 12250 14000 15680 19600 24500 28000 39200 49000 56000 78400 98000 196000 392000