Search a number
-
+
5420256 = 253131431
BaseRepresentation
bin10100101011010011100000
3101012101012020
4110223103200
52341422011
6312101440
764033332
oct24532340
911171166
105420256
113072356
121994880
13117a16a
14a11452
15721006
hex52b4e0

5420256 has 48 divisors (see below), whose sum is σ = 14370048. Its totient is φ = 1788800.

The previous prime is 5420231. The next prime is 5420267. The reversal of 5420256 is 6520245.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 12361 + ... + 12791.

It is an arithmetic number, because the mean of its divisors is an integer number (299376).

Almost surely, 25420256 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 5420256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7185024).

5420256 is an abundant number, since it is smaller than the sum of its proper divisors (8949792).

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

5420256 is a wasteful number, since it uses less digits than its factorization.

5420256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 575 (or 567 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

The square root of 5420256 is about 2328.1443254231. The cubic root of 5420256 is about 175.6601568824.

The spelling of 5420256 in words is "five million, four hundred twenty thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 131 262 393 431 524 786 862 1048 1293 1572 1724 2096 2586 3144 3448 4192 5172 6288 6896 10344 12576 13792 20688 41376 56461 112922 169383 225844 338766 451688 677532 903376 1355064 1806752 2710128 5420256