Search a number
-
+
38355444 = 2234235147
BaseRepresentation
bin1001001001010…
…0000111110100
32200011122210000
42102110013310
534304333234
63450031300
7644005311
oct222240764
980148700
1038355444
111a718016
1210a18530
137c3c13a
145145d08
153579899
hex24941f4

38355444 has 60 divisors (see below), whose sum is σ = 104648544. Its totient is φ = 12226896.

The previous prime is 38355409. The next prime is 38355481. The reversal of 38355444 is 44455383.

It is a super-2 number, since 2×383554442 = 2942280168874272, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 38355399 and 38355408.

It is a congruent number.

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 4879 + ... + 10025.

Almost surely, 238355444 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 38355444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52324272).

38355444 is an abundant number, since it is smaller than the sum of its proper divisors (66293100).

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

38355444 is a wasteful number, since it uses less digits than its factorization.

38355444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5186 (or 5175 counting only the distinct ones).

The product of its digits is 115200, while the sum is 36.

The square root of 38355444 is about 6193.1772136764. The cubic root of 38355444 is about 337.2425295580.

The spelling of 38355444 in words is "thirty-eight million, three hundred fifty-five thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 23 27 36 46 54 69 81 92 108 138 162 207 276 324 414 621 828 1242 1863 2484 3726 5147 7452 10294 15441 20588 30882 46323 61764 92646 118381 138969 185292 236762 277938 355143 416907 473524 555876 710286 833814 1065429 1420572 1667628 2130858 3196287 4261716 6392574 9588861 12785148 19177722 38355444