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38385228 = 2237297673
BaseRepresentation
bin1001001001101…
…1011001001100
32200020011122010
42102123121030
534311311403
63450421220
7644161200
oct222333114
980204563
1038385228
111a738432
1210a31810
137c4c86b
145152b00
153583603
hex249b64c

38385228 has 72 divisors (see below), whose sum is σ = 105418992. Its totient is φ = 10838016.

The previous prime is 38385203. The next prime is 38385233. The reversal of 38385228 is 82258383.

It is a super-2 number, since 2×383852282 = 2946851457223968, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 56700 + ... + 57372.

Almost surely, 238385228 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 38385228, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52709496).

38385228 is an abundant number, since it is smaller than the sum of its proper divisors (67033764).

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

38385228 is a wasteful number, since it uses less digits than its factorization.

38385228 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 791 (or 782 counting only the distinct ones).

The product of its digits is 92160, while the sum is 39.

The square root of 38385228 is about 6195.5813286567. The cubic root of 38385228 is about 337.3297995051.

The spelling of 38385228 in words is "thirty-eight million, three hundred eighty-five thousand, two hundred twenty-eight".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 84 97 98 147 194 196 291 294 388 582 588 673 679 1164 1346 1358 2019 2037 2692 2716 4038 4074 4711 4753 8076 8148 9422 9506 14133 14259 18844 19012 28266 28518 32977 56532 57036 65281 65954 98931 130562 131908 195843 197862 261124 391686 395724 456967 783372 913934 1370901 1827868 2741802 3198769 5483604 6397538 9596307 12795076 19192614 38385228