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38285000 = 2354131931
BaseRepresentation
bin1001001000001…
…0111011001000
32200001002010222
42102002323020
534300110000
63444325212
7643263035
oct222027310
980032128
1038285000
111a67a0a6
12109a3808
137c16060
14512838c
153563a85
hex2482ec8

38285000 has 160 divisors (see below), whose sum is σ = 104966400. Its totient is φ = 12960000.

The previous prime is 38284963. The next prime is 38285011. The reversal of 38285000 is 58283.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1234985 + ... + 1235015.

It is an arithmetic number, because the mean of its divisors is an integer number (656040).

Almost surely, 238285000 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 38285000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52483200).

38285000 is an abundant number, since it is smaller than the sum of its proper divisors (66681400).

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

38285000 is a wasteful number, since it uses less digits than its factorization.

38285000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 26.

The square root of 38285000 is about 6187.4873737245. The cubic root of 38285000 is about 337.0359420086.

The spelling of 38285000 in words is "thirty-eight million, two hundred eighty-five thousand".

Divisors: 1 2 4 5 8 10 13 19 20 25 26 31 38 40 50 52 62 65 76 95 100 104 124 125 130 152 155 190 200 247 248 250 260 310 325 380 403 475 494 500 520 589 620 625 650 760 775 806 950 988 1000 1178 1235 1240 1250 1300 1550 1612 1625 1900 1976 2015 2356 2375 2470 2500 2600 2945 3100 3224 3250 3800 3875 4030 4712 4750 4940 5000 5890 6175 6200 6500 7657 7750 8060 8125 9500 9880 10075 11780 11875 12350 13000 14725 15314 15500 16120 16250 19000 19375 20150 23560 23750 24700 29450 30628 30875 31000 32500 38285 38750 40300 47500 49400 50375 58900 61256 61750 65000 73625 76570 77500 80600 95000 100750 117800 123500 147250 153140 154375 155000 191425 201500 247000 251875 294500 306280 308750 368125 382850 403000 503750 589000 617500 736250 765700 957125 1007500 1235000 1472500 1531400 1914250 2015000 2945000 3828500 4785625 7657000 9571250 19142500 38285000