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38635975 = 5272329331
BaseRepresentation
bin1001001101100…
…0100111000111
32200200220121001
42103120213013
534342322400
63500034131
7646254220
oct223304707
980626531
1038635975
111a899864
1210b32947
138009a31
1451ba247
1535d2a6a
hex24d89c7

38635975 has 48 divisors (see below), whose sum is σ = 59281920. Its totient is φ = 24393600.

The previous prime is 38635969. The next prime is 38635979. The reversal of 38635975 is 57953683.

38635975 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 38635975 - 23 = 38635967 is a prime.

Its product of digits (680400) is a multiple of the sum of its prime factors (400).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38635979) 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 47 ways as a sum of consecutive naturals, for example, 116560 + ... + 116890.

It is an arithmetic number, because the mean of its divisors is an integer number (1235040).

Almost surely, 238635975 is an apocalyptic number.

38635975 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

38635975 is a deficient number, since it is larger than the sum of its proper divisors (20645945).

38635975 is a wasteful number, since it uses less digits than its factorization.

38635975 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 400 (or 395 counting only the distinct ones).

The product of its digits is 680400, while the sum is 46.

The square root of 38635975 is about 6215.7843431059. The cubic root of 38635975 is about 338.0627283412.

The spelling of 38635975 in words is "thirty-eight million, six hundred thirty-five thousand, nine hundred seventy-five".

Divisors: 1 5 7 23 25 29 35 115 145 161 175 203 331 575 667 725 805 1015 1655 2317 3335 4025 4669 5075 7613 8275 9599 11585 16675 23345 38065 47995 53291 57925 67193 116725 190325 220777 239975 266455 335965 1103885 1332275 1545439 1679825 5519425 7727195 38635975