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38142135 = 3251773683
BaseRepresentation
bin1001000110000…
…0000010110111
32122202211011200
42101200002313
534231022020
63441303543
7642126363
oct221400267
978684150
1038142135
111a591829
1210934bb3
137b96015
1450cc2a3
153536590
hex24600b7

38142135 has 48 divisors (see below), whose sum is σ = 71064864. Its totient is φ = 18855936.

The previous prime is 38142109. The next prime is 38142151. The reversal of 38142135 is 53124183.

It is a happy number.

It is not a de Polignac number, because 38142135 - 25 = 38142103 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 38142099 and 38142108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 55504 + ... + 56186.

It is an arithmetic number, because the mean of its divisors is an integer number (1480518).

Almost surely, 238142135 is an apocalyptic number.

38142135 is a deficient number, since it is larger than the sum of its proper divisors (32922729).

38142135 is a wasteful number, since it uses less digits than its factorization.

38142135 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 784 (or 781 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

The square root of 38142135 is about 6175.9319134848. The cubic root of 38142135 is about 336.6161896461.

The spelling of 38142135 in words is "thirty-eight million, one hundred forty-two thousand, one hundred thirty-five".

Divisors: 1 3 5 9 15 17 45 51 73 85 153 219 255 365 657 683 765 1095 1241 2049 3285 3415 3723 6147 6205 10245 11169 11611 18615 30735 34833 49859 55845 58055 104499 149577 174165 249295 448731 522495 747885 847603 2243655 2542809 4238015 7628427 12714045 38142135