[go: up one dir, main page]

Search a number
-
+
4713768 = 2333139157
BaseRepresentation
bin10001111110110100101000
322212111002000
4101332310220
52201320033
6245011000
755031523
oct21766450
98774060
104713768
11272a584
1216b3a60
13c90717
148a9bba
15631a13
hex47ed28

4713768 has 64 divisors (see below), whose sum is σ = 13272000. Its totient is φ = 1550016.

The previous prime is 4713739. The next prime is 4713769. The reversal of 4713768 is 8673174.

4713768 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4713769) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29946 + ... + 30102.

It is an arithmetic number, because the mean of its divisors is an integer number (207375).

Almost surely, 24713768 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 4713768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6636000).

4713768 is an abundant number, since it is smaller than the sum of its proper divisors (8558232).

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

4713768 is a wasteful number, since it uses less digits than its factorization.

4713768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 311 (or 301 counting only the distinct ones).

The product of its digits is 28224, while the sum is 36.

The square root of 4713768 is about 2171.1213692468. The cubic root of 4713768 is about 167.6702716432.

The spelling of 4713768 in words is "four million, seven hundred thirteen thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 139 157 216 278 314 417 471 556 628 834 942 1112 1251 1256 1413 1668 1884 2502 2826 3336 3753 3768 4239 5004 5652 7506 8478 10008 11304 15012 16956 21823 30024 33912 43646 65469 87292 130938 174584 196407 261876 392814 523752 589221 785628 1178442 1571256 2356884 4713768