Search a number
-
+
38393901 = 32721337181
BaseRepresentation
bin1001001001110…
…1100000101101
32200020121112100
42102131200231
534312101101
63450525313
7644225400
oct222354055
980217470
1038393901
111a7439a7
1210a36839
137c537b0
145155d37
153585e86
hex249d82d

38393901 has 72 divisors (see below), whose sum is σ = 71746584. Its totient is φ = 19595520.

The previous prime is 38393899. The next prime is 38393933. The reversal of 38393901 is 10939383.

It can be written as a sum of positive squares in 4 ways, for example, as 275625 + 38118276 = 525^2 + 6174^2 .

It is not a de Polignac number, because 38393901 - 21 = 38393899 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38343901) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 212031 + ... + 212211.

Almost surely, 238393901 is an apocalyptic number.

It is an amenable number.

38393901 is a deficient number, since it is larger than the sum of its proper divisors (33352683).

38393901 is a wasteful number, since it uses less digits than its factorization.

38393901 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 36.

The square root of 38393901 is about 6196.2812234436. The cubic root of 38393901 is about 337.3552037311.

The spelling of 38393901 in words is "thirty-eight million, three hundred ninety-three thousand, nine hundred one".

Divisors: 1 3 7 9 13 21 37 39 49 63 91 111 117 147 181 259 273 333 441 481 543 637 777 819 1267 1443 1629 1813 1911 2331 2353 3367 3801 4329 5439 5733 6697 7059 8869 10101 11403 16317 16471 20091 21177 23569 26607 30303 46879 49413 60273 70707 79821 87061 115297 140637 148239 212121 261183 328153 345891 421911 609427 783549 984459 1037673 1828281 2953377 4265989 5484843 12797967 38393901