Search a number
-
+
38807412 = 22372312129
BaseRepresentation
bin1001010000001…
…0011101110100
32201000121202120
42110002131310
534413314122
63503435540
7650600100
oct224023564
981017676
1038807412
111a9a6646
1210bb5bb0
138069a87
145222900
15361875c
hex2502774

38807412 has 72 divisors (see below), whose sum is σ = 108783360. Its totient is φ = 10725120.

The previous prime is 38807411. The next prime is 38807429. The reversal of 38807412 is 21470883.

It is a super-3 number, since 3×388074123 (a number of 24 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38807411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17164 + ... + 19292.

It is an arithmetic number, because the mean of its divisors is an integer number (1510880).

Almost surely, 238807412 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 38807412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54391680).

38807412 is an abundant number, since it is smaller than the sum of its proper divisors (69975948).

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

38807412 is a wasteful number, since it uses less digits than its factorization.

38807412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2181 (or 2172 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 33.

The square root of 38807412 is about 6229.5595349912. The cubic root of 38807412 is about 338.5620121344.

The spelling of 38807412 in words is "thirty-eight million, eight hundred seven thousand, four hundred twelve".

Divisors: 1 2 3 4 6 7 12 14 21 28 31 42 49 62 84 93 98 124 147 186 196 217 294 372 434 588 651 868 1302 1519 2129 2604 3038 4258 4557 6076 6387 8516 9114 12774 14903 18228 25548 29806 44709 59612 65999 89418 104321 131998 178836 197997 208642 263996 312963 395994 417284 461993 625926 791988 923986 1251852 1385979 1847972 2771958 3233951 5543916 6467902 9701853 12935804 19403706 38807412