Search a number
-
+
39387168 = 253345587
BaseRepresentation
bin1001011001000…
…0000000100000
32202010002001000
42112100000200
540040342133
63524112000
7655533252
oct226200040
982102030
1039387168
1120262187
1211235600
138210922
145333cd2
1536d0413
hex2590020

39387168 has 48 divisors (see below), whose sum is σ = 114881760. Its totient is φ = 13128768.

The previous prime is 39387163. The next prime is 39387193. The reversal of 39387168 is 86178393.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (39387163) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21930 + ... + 23657.

It is an arithmetic number, because the mean of its divisors is an integer number (2393370).

Almost surely, 239387168 is an apocalyptic number.

It is an amenable number.

39387168 is an abundant number, since it is smaller than the sum of its proper divisors (75494592).

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

39387168 is a wasteful number, since it uses less digits than its factorization.

39387168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45606 (or 45592 counting only the distinct ones).

The product of its digits is 217728, while the sum is 45.

The square root of 39387168 is about 6275.9196935589. The cubic root of 39387168 is about 340.2396465028.

The spelling of 39387168 in words is "thirty-nine million, three hundred eighty-seven thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 45587 91174 136761 182348 273522 364696 410283 547044 729392 820566 1094088 1230849 1458784 1641132 2188176 2461698 3282264 4376352 4923396 6564528 9846792 13129056 19693584 39387168