Search a number
-
+
4891712 = 26761179
BaseRepresentation
bin10010101010010001000000
3100012112011112
4102222101000
52223013322
6252502452
756402360
oct22522100
910175145
104891712
112841241
12177aa28
131023707
149149a0
156695e2
hex4aa440

4891712 has 56 divisors (see below), whose sum is σ = 11338560. Its totient is φ = 2050560.

The previous prime is 4891703. The next prime is 4891717. The reversal of 4891712 is 2171984.

It is a tau number, because it is divible by the number of its divisors (56).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (4891717) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27239 + ... + 27417.

Almost surely, 24891712 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 4891712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5669280).

4891712 is an abundant number, since it is smaller than the sum of its proper divisors (6446848).

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

4891712 is a wasteful number, since it uses less digits than its factorization.

4891712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 259 (or 249 counting only the distinct ones).

The product of its digits is 4032, while the sum is 32.

The square root of 4891712 is about 2211.7215014554. The cubic root of 4891712 is about 169.7541081758.

The spelling of 4891712 in words is "four million, eight hundred ninety-one thousand, seven hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 32 56 61 64 112 122 179 224 244 358 427 448 488 716 854 976 1253 1432 1708 1952 2506 2864 3416 3904 5012 5728 6832 10024 10919 11456 13664 20048 21838 27328 40096 43676 76433 80192 87352 152866 174704 305732 349408 611464 698816 1222928 2445856 4891712