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38289000 = 2335312763
BaseRepresentation
bin1001001000001…
…1111001101000
32200001021122010
42102003321220
534300222000
63444355520
7643310511
oct222037150
980037563
1038289000
111a682102
12109a5ba0
137c17b19
145129a08
153564d50
hex2483e68

38289000 has 64 divisors (see below), whose sum is σ = 119471040. Its totient is φ = 10209600.

The previous prime is 38288983. The next prime is 38289007. The reversal of 38289000 is 98283.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (38289007) 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, 3382 + ... + 9381.

It is an arithmetic number, because the mean of its divisors is an integer number (1866735).

Almost surely, 238289000 is an apocalyptic number.

38289000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

38289000 is an abundant number, since it is smaller than the sum of its proper divisors (81182040).

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

38289000 is a wasteful number, since it uses less digits than its factorization.

38289000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12787 (or 12773 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 38289000 is about 6187.8105982649. The cubic root of 38289000 is about 337.0476793889.

The spelling of 38289000 in words is "thirty-eight million, two hundred eighty-nine thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 300 375 500 600 750 1000 1500 3000 12763 25526 38289 51052 63815 76578 102104 127630 153156 191445 255260 306312 319075 382890 510520 638150 765780 957225 1276300 1531560 1595375 1914450 2552600 3190750 3828900 4786125 6381500 7657800 9572250 12763000 19144500 38289000