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38628837 = 32132109233
BaseRepresentation
bin1001001101011…
…0110111100101
32200200112210200
42103112313211
534342110322
63455541113
7646224342
oct223266745
980615720
1038628837
111a894465
1210b2a799
138006700
1451b77c9
1535d08ac
hex24d6de5

38628837 has 36 divisors (see below), whose sum is σ = 61235460. Its totient is φ = 23452416.

The previous prime is 38628829. The next prime is 38628857. The reversal of 38628837 is 73882683.

It can be written as a sum of positive squares in 6 ways, for example, as 7257636 + 31371201 = 2694^2 + 5601^2 .

It is not a de Polignac number, because 38628837 - 23 = 38628829 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 38628792 and 38628801.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38628857) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 165673 + ... + 165905.

It is an arithmetic number, because the mean of its divisors is an integer number (1700985).

Almost surely, 238628837 is an apocalyptic number.

It is an amenable number.

38628837 is a deficient number, since it is larger than the sum of its proper divisors (22606623).

38628837 is a wasteful number, since it uses less digits than its factorization.

38628837 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 374 (or 358 counting only the distinct ones).

The product of its digits is 387072, while the sum is 45.

The square root of 38628837 is about 6215.2101332135. The cubic root of 38628837 is about 338.0419080187.

The spelling of 38628837 in words is "thirty-eight million, six hundred twenty-eight thousand, eight hundred thirty-seven".

Divisors: 1 3 9 13 39 109 117 169 233 327 507 699 981 1417 1521 2097 3029 4251 9087 12753 18421 25397 27261 39377 55263 76191 118131 165789 228573 330161 354393 990483 2971449 4292093 12876279 38628837