Search a number
-
+
12471904 = 251973281
BaseRepresentation
bin101111100100…
…111001100000
3212110122020101
4233210321200
511143100104
61123152144
7211003144
oct57447140
925418211
1012471904
117049365
124215654
132778a33
141929224
1511655a4
hexbe4e60

12471904 has 48 divisors (see below), whose sum is σ = 26293680. Its totient is φ = 5806080.

The previous prime is 12471887. The next prime is 12471917. The reversal of 12471904 is 40917421.

12471904 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 44244 + ... + 44524.

It is an arithmetic number, because the mean of its divisors is an integer number (547785).

Almost surely, 212471904 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 12471904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13146840).

12471904 is an abundant number, since it is smaller than the sum of its proper divisors (13821776).

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

12471904 is a wasteful number, since it uses less digits than its factorization.

12471904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 383 (or 375 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 28.

The square root of 12471904 is about 3531.5582962766. The cubic root of 12471904 is about 231.9054311356.

The spelling of 12471904 in words is "twelve million, four hundred seventy-one thousand, nine hundred four".

Divisors: 1 2 4 8 16 19 32 38 73 76 146 152 281 292 304 562 584 608 1124 1168 1387 2248 2336 2774 4496 5339 5548 8992 10678 11096 20513 21356 22192 41026 42712 44384 82052 85424 164104 170848 328208 389747 656416 779494 1558988 3117976 6235952 12471904