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5423904 = 253237509
BaseRepresentation
bin10100101100001100100000
3101012120012100
4110230030200
52342031104
6312130400
764050063
oct24541440
911176170
105423904
113075072
121996a00
13117ba15
14a128da
15722139
hex52c320

5423904 has 72 divisors (see below), whose sum is σ = 15872220. Its totient is φ = 1755648.

The previous prime is 5423897. The next prime is 5423909. The reversal of 5423904 is 4093245.

5423904 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 4613904 + 810000 = 2148^2 + 900^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (5423909) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10402 + ... + 10910.

Almost surely, 25423904 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 5423904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7936110).

5423904 is an abundant number, since it is smaller than the sum of its proper divisors (10448316).

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

5423904 is a wasteful number, since it uses less digits than its factorization.

5423904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 562 (or 551 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 5423904 is about 2328.9276502287. The cubic root of 5423904 is about 175.6995562849.

Subtracting from 5423904 its product of nonzero digits (4320), we obtain a square (5419584 = 23282).

The spelling of 5423904 in words is "five million, four hundred twenty-three thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 37 48 72 74 96 111 144 148 222 288 296 333 444 509 592 666 888 1018 1184 1332 1527 1776 2036 2664 3054 3552 4072 4581 5328 6108 8144 9162 10656 12216 16288 18324 18833 24432 36648 37666 48864 56499 73296 75332 112998 146592 150664 169497 225996 301328 338994 451992 602656 677988 903984 1355976 1807968 2711952 5423904