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5278432 = 251731313
BaseRepresentation
bin10100001000101011100000
3100221011122111
4110020223200
52322402212
6305045104
762603005
oct24105340
910834574
105278432
112a85845
121926794
13112a743
149b58ac
156e3ea7
hex508ae0

5278432 has 48 divisors (see below), whose sum is σ = 11394432. Its totient is φ = 2396160.

The previous prime is 5278423. The next prime is 5278439. The reversal of 5278432 is 2348725.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a junction number, because it is equal to n+sod(n) for n = 5278394 and 5278403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5278439) 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, 16708 + ... + 17020.

It is an arithmetic number, because the mean of its divisors is an integer number (237384).

Almost surely, 25278432 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 5278432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5697216).

5278432 is an abundant number, since it is smaller than the sum of its proper divisors (6116000).

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

5278432 is a wasteful number, since it uses less digits than its factorization.

5278432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 371 (or 363 counting only the distinct ones).

The product of its digits is 13440, while the sum is 31.

The square root of 5278432 is about 2297.4838410748. The cubic root of 5278432 is about 174.1145148322.

It can be divided in two parts, 527 and 8432, that multiplied together give a square (4443664 = 21082).

The spelling of 5278432 in words is "five million, two hundred seventy-eight thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 17 31 32 34 62 68 124 136 248 272 313 496 527 544 626 992 1054 1252 2108 2504 4216 5008 5321 8432 9703 10016 10642 16864 19406 21284 38812 42568 77624 85136 155248 164951 170272 310496 329902 659804 1319608 2639216 5278432