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38418114 = 23719311553
BaseRepresentation
bin1001001010001…
…1011011000010
32200021211202010
42102203123002
534313334424
63451233350
7644356110
oct222433302
980254663
1038418114
111a760109
1210a48856
137c61817
145160ab0
15358d229
hex24a36c2

38418114 has 64 divisors (see below), whose sum is σ = 95477760. Its totient is φ = 10056960.

The previous prime is 38418109. The next prime is 38418131. The reversal of 38418114 is 41181483.

It is a Curzon 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 31 ways as a sum of consecutive naturals, for example, 23962 + ... + 25514.

It is an arithmetic number, because the mean of its divisors is an integer number (1491840).

Almost surely, 238418114 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38418114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47738880).

38418114 is an abundant number, since it is smaller than the sum of its proper divisors (57059646).

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

38418114 is a wasteful number, since it uses less digits than its factorization.

38418114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1615.

The product of its digits is 3072, while the sum is 30.

The square root of 38418114 is about 6198.2347487006. The cubic root of 38418114 is about 337.4261061819.

Adding to 38418114 its reverse (41181483), we get a palindrome (79599597).

The spelling of 38418114 in words is "thirty-eight million, four hundred eighteen thousand, one hundred fourteen".

Divisors: 1 2 3 6 7 14 19 21 31 38 42 57 62 93 114 133 186 217 266 399 434 589 651 798 1178 1302 1553 1767 3106 3534 4123 4659 8246 9318 10871 12369 21742 24738 29507 32613 48143 59014 65226 88521 96286 144429 177042 206549 288858 337001 413098 619647 674002 914717 1011003 1239294 1829434 2022006 2744151 5488302 6403019 12806038 19209057 38418114