Search a number
-
+
12893904 = 24349949
BaseRepresentation
bin110001001011…
…111011010000
3220021002010000
4301023323100
511300101104
61140210000
7214411362
oct61137320
926232100
1012893904
117307421
124399900
132895b3a
1419d8d32
1511ea639
hexc4bed0

12893904 has 50 divisors (see below), whose sum is σ = 37322450. Its totient is φ = 4297536.

The previous prime is 12893899. The next prime is 12893911. The reversal of 12893904 is 40939821.

12893904 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 10497600 + 2396304 = 3240^2 + 1548^2 .

It is a super-2 number, since 2×128939042 = 332505520722432, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 3679 + ... + 6270.

It is an arithmetic number, because the mean of its divisors is an integer number (746449).

Almost surely, 212893904 is an apocalyptic number.

It is an amenable number.

12893904 is an abundant number, since it is smaller than the sum of its proper divisors (24428546).

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

12893904 is an equidigital number, since it uses as much as digits as its factorization.

12893904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9969 (or 9954 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 12893904 is about 3590.8082655580. The cubic root of 12893904 is about 234.4920612027.

The spelling of 12893904 in words is "twelve million, eight hundred ninety-three thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 324 432 648 1296 9949 19898 29847 39796 59694 79592 89541 119388 159184 179082 238776 268623 358164 477552 537246 716328 805869 1074492 1432656 1611738 2148984 3223476 4297968 6446952 12893904