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38023000 = 235347809
BaseRepresentation
bin1001000100001…
…0111101011000
32122112202202021
42101002331120
534213214000
63434544224
7641122141
oct221027530
978482667
1038023000
111a510274
1210898074
137b53a22
14509aac8
15351111a
hex2442f58

38023000 has 64 divisors (see below), whose sum is σ = 90979200. Its totient is φ = 14867200.

The previous prime is 38022991. The next prime is 38023003. The reversal of 38023000 is 32083.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38023003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46596 + ... + 47404.

It is an arithmetic number, because the mean of its divisors is an integer number (1421550).

Almost surely, 238023000 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 38023000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45489600).

38023000 is an abundant number, since it is smaller than the sum of its proper divisors (52956200).

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

38023000 is a wasteful number, since it uses less digits than its factorization.

38023000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 877 (or 863 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 38023000 is about 6166.2792671108. The cubic root of 38023000 is about 336.2653563280.

Adding to 38023000 its reverse (32083), we get a palindrome (38055083).

The spelling of 38023000 in words is "thirty-eight million, twenty-three thousand".

Divisors: 1 2 4 5 8 10 20 25 40 47 50 94 100 125 188 200 235 250 376 470 500 809 940 1000 1175 1618 1880 2350 3236 4045 4700 5875 6472 8090 9400 11750 16180 20225 23500 32360 38023 40450 47000 76046 80900 101125 152092 161800 190115 202250 304184 380230 404500 760460 809000 950575 1520920 1901150 3802300 4752875 7604600 9505750 19011500 38023000