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5429248 = 21111241
BaseRepresentation
bin10100101101100000000000
3101012211112021
4110231200000
52342213443
6312211224
764101466
oct24554000
911184467
105429248
113079090
121999b14
131181296
14a14836
157239ed
hex52d800

5429248 has 48 divisors (see below), whose sum is σ = 11891880. Its totient is φ = 2457600.

The previous prime is 5429243. The next prime is 5429251. The reversal of 5429248 is 8429245.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5429243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 22408 + ... + 22648.

Almost surely, 25429248 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 5429248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5945940).

5429248 is an abundant number, since it is smaller than the sum of its proper divisors (6462632).

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

5429248 is a wasteful number, since it uses less digits than its factorization.

5429248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274 (or 254 counting only the distinct ones).

The product of its digits is 23040, while the sum is 34.

The square root of 5429248 is about 2330.0746769149. The cubic root of 5429248 is about 175.7572410712.

The spelling of 5429248 in words is "five million, four hundred twenty-nine thousand, two hundred forty-eight".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 241 256 352 482 512 704 964 1024 1408 1928 2048 2651 2816 3856 5302 5632 7712 10604 11264 15424 21208 22528 30848 42416 61696 84832 123392 169664 246784 339328 493568 678656 1357312 2714624 5429248