Search a number
-
+
38630988 = 22321197553
BaseRepresentation
bin1001001101011…
…1011001001100
32200200122202100
42103113121030
534342142423
63455555100
7646233534
oct223273114
980618670
1038630988
111a896040
1210b2ba90
138007696
1451b84c4
1535d1343
hex24d764c

38630988 has 36 divisors (see below), whose sum is σ = 106528968. Its totient is φ = 11706240.

The previous prime is 38630981. The next prime is 38631031. The reversal of 38630988 is 88903683.

38630988 is a `hidden beast` number, since 3 + 8 + 630 + 9 + 8 + 8 = 666.

38630988 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×386309882 = 2984706467712288, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38630981) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 48381 + ... + 49172.

It is an arithmetic number, because the mean of its divisors is an integer number (2959138).

Almost surely, 238630988 is an apocalyptic number.

It is an amenable number.

38630988 is an abundant number, since it is smaller than the sum of its proper divisors (67897980).

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

38630988 is a wasteful number, since it uses less digits than its factorization.

38630988 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97574 (or 97569 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 38630988 is about 6215.3831740288. The cubic root of 38630988 is about 338.0481823869.

The spelling of 38630988 in words is "thirty-eight million, six hundred thirty thousand, nine hundred eighty-eight".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 97553 195106 292659 390212 585318 877977 1073083 1170636 1755954 2146166 3219249 3511908 4292332 6438498 9657747 12876996 19315494 38630988