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38185000 = 235471091
BaseRepresentation
bin1001000110101…
…0100000101000
32122211222222021
42101222200220
534233410000
63442234224
7642365350
oct221524050
978758867
1038185000
111a610a57
1210955974
137bac699
1450ddb60
15354411a
hex246a828

38185000 has 80 divisors (see below), whose sum is σ = 102342240. Its totient is φ = 13080000.

The previous prime is 38184997. The next prime is 38185013. The reversal of 38185000 is 58183.

It is a hoax number, since the sum of its digits (25) 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 (25).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 34455 + ... + 35545.

It is an arithmetic number, because the mean of its divisors is an integer number (1279278).

Almost surely, 238185000 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 38185000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51171120).

38185000 is an abundant number, since it is smaller than the sum of its proper divisors (64157240).

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

38185000 is a wasteful number, since it uses less digits than its factorization.

38185000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1124 (or 1105 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 25.

The square root of 38185000 is about 6179.4012654949. The cubic root of 38185000 is about 336.7422414180.

The spelling of 38185000 in words is "thirty-eight million, one hundred eighty-five thousand".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 125 140 175 200 250 280 350 500 625 700 875 1000 1091 1250 1400 1750 2182 2500 3500 4364 4375 5000 5455 7000 7637 8728 8750 10910 15274 17500 21820 27275 30548 35000 38185 43640 54550 61096 76370 109100 136375 152740 190925 218200 272750 305480 381850 545500 681875 763700 954625 1091000 1363750 1527400 1909250 2727500 3818500 4773125 5455000 7637000 9546250 19092500 38185000