Search a number
-
+
38242288 = 2471917971
BaseRepresentation
bin1001000111100…
…0011111110000
32122221220120001
42101320133300
534242223123
63443355344
7643024360
oct221703760
978856501
1038242288
111a64aaa7
1210982b54
137bcc796
1451169a0
1535560ad
hex24787f0

38242288 has 40 divisors (see below), whose sum is σ = 89141120. Its totient is φ = 15526080.

The previous prime is 38242279. The next prime is 38242289. The reversal of 38242288 is 88224283.

38242288 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38242289) 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 7 ways as a sum of consecutive naturals, for example, 6858 + ... + 11113.

It is an arithmetic number, because the mean of its divisors is an integer number (2228528).

Almost surely, 238242288 is an apocalyptic number.

38242288 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is an amenable number.

38242288 is an abundant number, since it is smaller than the sum of its proper divisors (50898832).

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

38242288 is a wasteful number, since it uses less digits than its factorization.

38242288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18005 (or 17999 counting only the distinct ones).

The product of its digits is 49152, while the sum is 37.

The square root of 38242288 is about 6184.0349287500. The cubic root of 38242288 is about 336.9105592579.

The spelling of 38242288 in words is "thirty-eight million, two hundred forty-two thousand, two hundred eighty-eight".

Divisors: 1 2 4 7 8 14 16 19 28 38 56 76 112 133 152 266 304 532 1064 2128 17971 35942 71884 125797 143768 251594 287536 341449 503188 682898 1006376 1365796 2012752 2390143 2731592 4780286 5463184 9560572 19121144 38242288