[go: up one dir, main page]

Search a number
-
+
5734976 = 261361113
BaseRepresentation
bin10101111000001001000000
3101210100220112
4111320021000
52432004401
6322530452
766514022
oct25701100
911710815
105734976
113267855
121b06a28
13125a4a0
14a94012
157843bb
hex578240

5734976 has 56 divisors (see below), whose sum is σ = 12566904. Its totient is φ = 2580480.

The previous prime is 5734973. The next prime is 5734997. The reversal of 5734976 is 6794375.

It can be written as a sum of positive squares in 4 ways, for example, as 1000000 + 4734976 = 1000^2 + 2176^2 .

Its product of digits (158760) is a multiple of the sum of its prime divisors (189).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5734973) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 50696 + ... + 50808.

It is an arithmetic number, because the mean of its divisors is an integer number (224409).

Almost surely, 25734976 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 5734976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6283452).

5734976 is an abundant number, since it is smaller than the sum of its proper divisors (6831928).

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

5734976 is a wasteful number, since it uses less digits than its factorization.

5734976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199 (or 189 counting only the distinct ones).

The product of its digits is 158760, while the sum is 41.

The square root of 5734976 is about 2394.7809920742. The cubic root of 5734976 is about 178.9962235089.

The spelling of 5734976 in words is "five million, seven hundred thirty-four thousand, nine hundred seventy-six".

Divisors: 1 2 4 8 13 16 26 32 52 61 64 104 113 122 208 226 244 416 452 488 793 832 904 976 1469 1586 1808 1952 2938 3172 3616 3904 5876 6344 6893 7232 11752 12688 13786 23504 25376 27572 47008 50752 55144 89609 94016 110288 179218 220576 358436 441152 716872 1433744 2867488 5734976