Search a number
-
+
4913792 = 27132953
BaseRepresentation
bin10010101111101010000000
3100020122110022
4102233222000
52224220132
6253153012
756523632
oct22575200
910218408
104913792
112856894
12178b768
131030790
1491ca52
15670e12
hex4afa80

4913792 has 32 divisors (see below), whose sum is σ = 10545780. Its totient is φ = 2267136.

The previous prime is 4913791. The next prime is 4913801. The reversal of 4913792 is 2973194.

It can be written as a sum of positive squares in 2 ways, for example, as 4910656 + 3136 = 2216^2 + 56^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is not an unprimeable number, because it can be changed into a prime (4913791) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 188 + ... + 3140.

Almost surely, 24913792 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 4913792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5272890).

4913792 is an abundant number, since it is smaller than the sum of its proper divisors (5631988).

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

4913792 is a wasteful number, since it uses less digits than its factorization.

4913792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2980 (or 2968 counting only the distinct ones).

The product of its digits is 13608, while the sum is 35.

The square root of 4913792 is about 2216.7074682962. The cubic root of 4913792 is about 170.0091344573.

The spelling of 4913792 in words is "four million, nine hundred thirteen thousand, seven hundred ninety-two".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 208 416 832 1664 2953 5906 11812 23624 38389 47248 76778 94496 153556 188992 307112 377984 614224 1228448 2456896 4913792