Search a number
-
+
38283975 = 3352431319
BaseRepresentation
bin1001001000001…
…0101011000111
32200001000202000
42102002223013
534300041400
63444320343
7643260042
oct222025307
980030660
1038283975
111a679354
12109a30b3
137c15752
145127c59
153563600
hex2482ac7

38283975 has 48 divisors (see below), whose sum is σ = 72019200. Its totient is φ = 19928160.

The previous prime is 38283943. The next prime is 38283989. The reversal of 38283975 is 57938283.

It is not a de Polignac number, because 38283975 - 25 = 38283943 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 38283975.

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 47 ways as a sum of consecutive naturals, for example, 28366 + ... + 29684.

It is an arithmetic number, because the mean of its divisors is an integer number (1500400).

Almost surely, 238283975 is an apocalyptic number.

38283975 is a deficient number, since it is larger than the sum of its proper divisors (33735225).

38283975 is a wasteful number, since it uses less digits than its factorization.

38283975 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1381 (or 1370 counting only the distinct ones).

The product of its digits is 362880, while the sum is 45.

The square root of 38283975 is about 6187.4045447182. The cubic root of 38283975 is about 337.0329341733.

The spelling of 38283975 in words is "thirty-eight million, two hundred eighty-three thousand, nine hundred seventy-five".

Divisors: 1 3 5 9 15 25 27 43 45 75 129 135 215 225 387 645 675 1075 1161 1319 1935 3225 3957 5805 6595 9675 11871 19785 29025 32975 35613 56717 59355 98925 170151 178065 283585 296775 510453 850755 890325 1417925 1531359 2552265 4253775 7656795 12761325 38283975