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38209000 = 2353192011
BaseRepresentation
bin1001000111000…
…0010111101000
32122220012220011
42101300113220
534240142000
63442541304
7642525334
oct221602750
978805804
1038209000
111a627a95
1210967834
137bba59b
1451087c4
15354b2ba
hex24705e8

38209000 has 64 divisors (see below), whose sum is σ = 94161600. Its totient is φ = 14472000.

The previous prime is 38208991. The next prime is 38209021. The reversal of 38209000 is 90283.

It is an unprimeable number.

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, 17995 + ... + 20005.

It is an arithmetic number, because the mean of its divisors is an integer number (1471275).

Almost surely, 238209000 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 38209000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47080800).

38209000 is an abundant number, since it is smaller than the sum of its proper divisors (55952600).

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

38209000 is a wasteful number, since it uses less digits than its factorization.

38209000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2051 (or 2037 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

The square root of 38209000 is about 6181.3428961675. The cubic root of 38209000 is about 336.8127762807.

Adding to 38209000 its reverse (90283), we get a palindrome (38299283).

The spelling of 38209000 in words is "thirty-eight million, two hundred nine thousand".

Divisors: 1 2 4 5 8 10 19 20 25 38 40 50 76 95 100 125 152 190 200 250 380 475 500 760 950 1000 1900 2011 2375 3800 4022 4750 8044 9500 10055 16088 19000 20110 38209 40220 50275 76418 80440 100550 152836 191045 201100 251375 305672 382090 402200 502750 764180 955225 1005500 1528360 1910450 2011000 3820900 4776125 7641800 9552250 19104500 38209000