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38420712 = 233211139349
BaseRepresentation
bin1001001010010…
…0000011101000
32200021222022100
42102210003220
534313430322
63451253400
7644366511
oct222440350
980258270
1038420712
111a762060
1210a4a260
137c62a65
145161a08
15358ddac
hex24a40e8

38420712 has 96 divisors (see below), whose sum is σ = 114660000. Its totient is φ = 11525760.

The previous prime is 38420671. The next prime is 38420719. The reversal of 38420712 is 21702483.

It is a super-2 number, since 2×384207122 = 2952302221173888, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (38420719) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 109914 + ... + 110262.

It is an arithmetic number, because the mean of its divisors is an integer number (1194375).

Almost surely, 238420712 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 38420712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57330000).

38420712 is an abundant number, since it is smaller than the sum of its proper divisors (76239288).

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

38420712 is a wasteful number, since it uses less digits than its factorization.

38420712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 511 (or 504 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 38420712 is about 6198.4443209567. Note that the first 3 decimals coincide. The cubic root of 38420712 is about 337.4337120842.

The spelling of 38420712 in words is "thirty-eight million, four hundred twenty thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 132 139 198 264 278 349 396 417 556 698 792 834 1047 1112 1251 1396 1529 1668 2094 2502 2792 3058 3141 3336 3839 4188 4587 5004 6116 6282 7678 8376 9174 10008 11517 12232 12564 13761 15356 18348 23034 25128 27522 30712 34551 36696 46068 48511 55044 69102 92136 97022 110088 138204 145533 194044 276408 291066 388088 436599 533621 582132 873198 1067242 1164264 1600863 1746396 2134484 3201726 3492792 4268968 4802589 6403452 9605178 12806904 19210356 38420712