Search a number
-
+
38952270 = 23257173637
BaseRepresentation
bin1001010010010…
…1110101001110
32201021222110200
42110211311032
534432433040
63510514330
7652042320
oct224456516
981258420
1038952270
111aa95465
12110659a6
1380ba9a6
14525d610
153646630
hex2525d4e

38952270 has 96 divisors (see below), whose sum is σ = 122586048. Its totient is φ = 8377344.

The previous prime is 38952269. The next prime is 38952283. The reversal of 38952270 is 7225983.

It is a happy number.

38952270 is a `hidden beast` number, since 389 + 5 + 2 + 270 = 666.

38952270 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×389522703 (a number of 24 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

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, 8892 + ... + 12528.

It is an arithmetic number, because the mean of its divisors is an integer number (1276938).

Almost surely, 238952270 is an apocalyptic number.

38952270 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 38952270, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61293024).

38952270 is an abundant number, since it is smaller than the sum of its proper divisors (83633778).

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

38952270 is a wasteful number, since it uses less digits than its factorization.

38952270 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3674 (or 3671 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 38952270 is about 6241.1753700725. The cubic root of 38952270 is about 338.9827437897.

The spelling of 38952270 in words is "thirty-eight million, nine hundred fifty-two thousand, two hundred seventy".

Divisors: 1 2 3 5 6 7 9 10 14 15 17 18 21 30 34 35 42 45 51 63 70 85 90 102 105 119 126 153 170 210 238 255 306 315 357 510 595 630 714 765 1071 1190 1530 1785 2142 3570 3637 5355 7274 10710 10911 18185 21822 25459 32733 36370 50918 54555 61829 65466 76377 109110 123658 127295 152754 163665 185487 229131 254590 309145 327330 370974 381885 432803 458262 556461 618290 763770 865606 927435 1112922 1145655 1298409 1854870 2164015 2291310 2596818 2782305 3895227 4328030 5564610 6492045 7790454 12984090 19476135 38952270