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38282000 = 245319141
BaseRepresentation
bin1001001000001…
…0001100010000
32200000221000212
42102002030100
534300011000
63444303252
7643251221
oct222021420
980027025
1038282000
111a677919
12109a1b28
137c14893
145127248
153562c35
hex2482310

38282000 has 40 divisors (see below), whose sum is σ = 92570712. Its totient is φ = 15312000.

The previous prime is 38281981. The next prime is 38282021. The reversal of 38282000 is 28283.

It can be written as a sum of positive squares in 4 ways, for example, as 1364224 + 36917776 = 1168^2 + 6076^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a hoax number, since the sum of its digits (23) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7571 + ... + 11570.

Almost surely, 238282000 is an apocalyptic number.

It is an amenable number.

38282000 is an abundant number, since it is smaller than the sum of its proper divisors (54288712).

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

38282000 is a wasteful number, since it uses less digits than its factorization.

38282000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19164 (or 19148 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

The square root of 38282000 is about 6187.2449442381. The cubic root of 38282000 is about 337.0271384368.

The spelling of 38282000 in words is "thirty-eight million, two hundred eighty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 1000 2000 19141 38282 76564 95705 153128 191410 306256 382820 478525 765640 957050 1531280 1914100 2392625 3828200 4785250 7656400 9570500 19141000 38282000