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38115012 = 22313263929
BaseRepresentation
bin1001000101100…
…1011011000100
32122201102222010
42101121123010
534224140022
63440534220
7641654325
oct221313304
978642863
1038115012
111a573411
1210921370
137b86880
1450c244c
15352d50c
hex24596c4

38115012 has 48 divisors (see below), whose sum is σ = 96243840. Its totient is φ = 11670528.

The previous prime is 38114983. The next prime is 38115017. The reversal of 38115012 is 21051183.

It is a self number, because there is not a number n which added to its sum of digits gives 38115012.

It is not an unprimeable number, because it can be changed into a prime (38115017) 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 15 ways as a sum of consecutive naturals, for example, 40564 + ... + 41492.

It is an arithmetic number, because the mean of its divisors is an integer number (2005080).

Almost surely, 238115012 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 38115012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48121920).

38115012 is an abundant number, since it is smaller than the sum of its proper divisors (58128828).

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

38115012 is a wasteful number, since it uses less digits than its factorization.

38115012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1212 (or 1210 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 21.

The square root of 38115012 is about 6173.7356600360. The cubic root of 38115012 is about 336.5363810922.

Adding to 38115012 its reverse (21051183), we get a palindrome (59166195).

It can be divided in two parts, 381150 and 12, that multiplied together give a triangular number (4573800 = T3024).

The spelling of 38115012 in words is "thirty-eight million, one hundred fifteen thousand, twelve".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 156 263 526 789 929 1052 1578 1858 2787 3156 3419 3716 5574 6838 10257 11148 12077 13676 20514 24154 36231 41028 48308 72462 144924 244327 488654 732981 977308 1465962 2931924 3176251 6352502 9528753 12705004 19057506 38115012