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38679630 = 235111931199
BaseRepresentation
bin1001001110001…
…1010001001110
32200210010110220
42103203101032
534400222010
63501012210
7646525413
oct223432116
980703426
1038679630
111a919640
1210b54066
138023872
1451cc10a
1535e0970
hex24e344e

38679630 has 128 divisors (see below), whose sum is σ = 110592000. Its totient is φ = 8553600.

The previous prime is 38679581. The next prime is 38679679. The reversal of 38679630 is 3697683.

It is an interprime number because it is at equal distance from previous prime (38679581) and next prime (38679679).

It is a super-2 number, since 2×386796302 = 2992227553873800, 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 63 ways as a sum of consecutive naturals, for example, 194271 + ... + 194469.

It is an arithmetic number, because the mean of its divisors is an integer number (864000).

Almost surely, 238679630 is an apocalyptic number.

38679630 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 38679630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55296000).

38679630 is an abundant number, since it is smaller than the sum of its proper divisors (71912370).

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

38679630 is a wasteful number, since it uses less digits than its factorization.

38679630 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 270.

The product of its (nonzero) digits is 163296, while the sum is 42.

The square root of 38679630 is about 6219.2949761207. The cubic root of 38679630 is about 338.1900067258.

The spelling of 38679630 in words is "thirty-eight million, six hundred seventy-nine thousand, six hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 19 22 30 31 33 38 55 57 62 66 93 95 110 114 155 165 186 190 199 209 285 310 330 341 398 418 465 570 589 597 627 682 930 995 1023 1045 1178 1194 1254 1705 1767 1990 2046 2090 2189 2945 2985 3135 3410 3534 3781 4378 5115 5890 5970 6169 6270 6479 6567 7562 8835 10230 10945 11343 12338 12958 13134 17670 18507 18905 19437 21890 22686 30845 32395 32835 37014 37810 38874 41591 56715 61690 64790 65670 67859 83182 92535 97185 113430 117211 124773 135718 185070 194370 203577 207955 234422 249546 339295 351633 407154 415910 586055 623865 678590 703266 1017885 1172110 1247730 1289321 1758165 2035770 2578642 3516330 3867963 6446605 7735926 12893210 19339815 38679630