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38806460 = 225711113223
BaseRepresentation
bin1001010000001…
…0001110111100
32201000120110022
42110002032330
534413301320
63503431312
7650564240
oct224021674
981016408
1038806460
111a9a5960
1210bb5538
138069504
145222420
153618325
hex25023bc

38806460 has 96 divisors (see below), whose sum is σ = 102961152. Its totient is φ = 11934720.

The previous prime is 38806457. The next prime is 38806463. The reversal of 38806460 is 6460883.

It is an interprime number because it is at equal distance from previous prime (38806457) and next prime (38806463).

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 38806460.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38806463) 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 31 ways as a sum of consecutive naturals, for example, 173909 + ... + 174131.

It is an arithmetic number, because the mean of its divisors is an integer number (1072512).

Almost surely, 238806460 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 38806460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51480576).

38806460 is an abundant number, since it is smaller than the sum of its proper divisors (64154692).

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

38806460 is a wasteful number, since it uses less digits than its factorization.

38806460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 363 (or 361 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 35.

The square root of 38806460 is about 6229.4831246260. The cubic root of 38806460 is about 338.5592436454.

The spelling of 38806460 in words is "thirty-eight million, eight hundred six thousand, four hundred sixty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 55 70 77 110 113 140 154 220 223 226 308 385 446 452 565 770 791 892 1115 1130 1243 1540 1561 1582 2230 2260 2453 2486 3122 3164 3955 4460 4906 4972 6215 6244 7805 7910 8701 9812 12265 12430 15610 15820 17171 17402 24530 24860 25199 31220 34342 34804 43505 49060 50398 68684 85855 87010 100796 125995 171710 174020 176393 251990 277189 343420 352786 503980 554378 705572 881965 1108756 1385945 1763930 1940323 2771890 3527860 3880646 5543780 7761292 9701615 19403230 38806460