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38728620 = 22325724391
BaseRepresentation
bin1001001110111…
…1001110101100
32200212121200100
42103233032230
534403303440
63502031100
7650121300
oct223571654
980777610
1038728620
111a952427
1210b78490
13803cc58
145201d00
153600230
hex24ef3ac

38728620 has 108 divisors (see below), whose sum is σ = 136687824. Its totient is φ = 8850240.

The previous prime is 38728609. The next prime is 38728661. The reversal of 38728620 is 2682783.

It is a happy number.

38728620 is a `hidden beast` number, since 3 + 8 + 7 + 28 + 620 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 6625 + ... + 11015.

It is an arithmetic number, because the mean of its divisors is an integer number (1265628).

Almost surely, 238728620 is an apocalyptic number.

38728620 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38728620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68343912).

38728620 is an abundant number, since it is smaller than the sum of its proper divisors (97959204).

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

38728620 is a wasteful number, since it uses less digits than its factorization.

38728620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4420 (or 4408 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 38728620 is about 6223.2322791296. The cubic root of 38728620 is about 338.3327255901.

The spelling of 38728620 in words is "thirty-eight million, seven hundred twenty-eight thousand, six hundred twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 49 60 63 70 84 90 98 105 126 140 147 180 196 210 245 252 294 315 420 441 490 588 630 735 882 980 1260 1470 1764 2205 2940 4391 4410 8782 8820 13173 17564 21955 26346 30737 39519 43910 52692 61474 65865 79038 87820 92211 122948 131730 153685 158076 184422 197595 215159 263460 276633 307370 368844 395190 430318 461055 553266 614740 645477 790380 860636 922110 1075795 1106532 1290954 1383165 1844220 1936431 2151590 2581908 2766330 3227385 3872862 4303180 5532660 6454770 7745724 9682155 12909540 19364310 38728620