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38140168 = 2311231241
BaseRepresentation
bin1001000101111…
…1100100001000
32122202201110211
42101133210020
534230441133
63441250504
7642120553
oct221374410
978681424
1038140168
111a590300
1210933a34
137b95161
1450cb69a
153535bcd
hex245f908

38140168 has 72 divisors (see below), whose sum is σ = 83203470. Its totient is φ = 16368000.

The previous prime is 38140147. The next prime is 38140169. The reversal of 38140168 is 86104183.

It can be written as a sum of positive squares in only one way, i.e., 37675044 + 465124 = 6138^2 + 682^2 .

It is a Harshad number since it is a multiple of its sum of digits (31).

It is not an unprimeable number, because it can be changed into a prime (38140169) by changing a digit.

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 17 ways as a sum of consecutive naturals, for example, 930228 + ... + 930268.

Almost surely, 238140168 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 38140168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41601735).

38140168 is an abundant number, since it is smaller than the sum of its proper divisors (45063302).

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

38140168 is a wasteful number, since it uses less digits than its factorization.

38140168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 31.

The square root of 38140168 is about 6175.7726642097. The cubic root of 38140168 is about 336.6104030846.

The spelling of 38140168 in words is "thirty-eight million, one hundred forty thousand, one hundred sixty-eight".

Divisors: 1 2 4 8 11 22 31 41 44 62 82 88 121 124 164 242 248 328 341 451 484 682 902 961 968 1271 1364 1804 1922 2542 2728 3608 3751 3844 4961 5084 7502 7688 9922 10168 10571 13981 15004 19844 21142 27962 30008 39401 39688 42284 55924 78802 84568 111848 116281 153791 157604 232562 307582 315208 433411 465124 615164 866822 930248 1230328 1733644 3467288 4767521 9535042 19070084 38140168