Search a number
-
+
39304128 = 263269761
BaseRepresentation
bin1001010111101…
…1101111000000
32201221212010110
42111323233000
540030213003
63522231320
7655036203
oct225735700
981855113
1039304128
1120205856
12111b5540
1381b1ba6
14531193a
1536b5a03
hex257bbc0

39304128 has 56 divisors (see below), whose sum is σ = 104515920. Its totient is φ = 13035520.

The previous prime is 39304123. The next prime is 39304151. The reversal of 39304128 is 82140393.

It is a junction number, because it is equal to n+sod(n) for n = 39304095 and 39304104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (39304123) 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, 51268 + ... + 52028.

Almost surely, 239304128 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 39304128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52257960).

39304128 is an abundant number, since it is smaller than the sum of its proper divisors (65211792).

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

39304128 is a wasteful number, since it uses less digits than its factorization.

39304128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1045 (or 1035 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 39304128 is about 6269.3004394430. The cubic root of 39304128 is about 340.0003690884. Note that the first 3 decimals are identical.

The spelling of 39304128 in words is "thirty-nine million, three hundred four thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 269 538 761 807 1076 1522 1614 2152 2283 3044 3228 4304 4566 6088 6456 8608 9132 12176 12912 17216 18264 24352 25824 36528 48704 51648 73056 146112 204709 409418 614127 818836 1228254 1637672 2456508 3275344 4913016 6550688 9826032 13101376 19652064 39304128