Search a number
-
+
38484540 = 22325474549
BaseRepresentation
bin1001001011001…
…1101000111100
32200102012212100
42102303220330
534323001130
63452505100
7645053553
oct222635074
980365770
1038484540
111a7a6006
1210a7b190
137c85b23
14517ad9a
1535a2c60
hex24b3a3c

38484540 has 72 divisors (see below), whose sum is σ = 119246400. Its totient is φ = 10041984.

The previous prime is 38484539. The next prime is 38484559. The reversal of 38484540 is 4548483.

38484540 is a `hidden beast` number, since 38 + 4 + 84 + 540 = 666.

38484540 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 38484495 and 38484504.

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 23 ways as a sum of consecutive naturals, for example, 6186 + ... + 10734.

It is an arithmetic number, because the mean of its divisors is an integer number (1656200).

Almost surely, 238484540 is an apocalyptic number.

38484540 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38484540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59623200).

38484540 is an abundant number, since it is smaller than the sum of its proper divisors (80761860).

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

38484540 is a wasteful number, since it uses less digits than its factorization.

38484540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4611 (or 4606 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The square root of 38484540 is about 6203.5908956023. The cubic root of 38484540 is about 337.6204672833.

The spelling of 38484540 in words is "thirty-eight million, four hundred eighty-four thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 47 60 90 94 141 180 188 235 282 423 470 564 705 846 940 1410 1692 2115 2820 4230 4549 8460 9098 13647 18196 22745 27294 40941 45490 54588 68235 81882 90980 136470 163764 204705 213803 272940 409410 427606 641409 818820 855212 1069015 1282818 1924227 2138030 2565636 3207045 3848454 4276060 6414090 7696908 9621135 12828180 19242270 38484540