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42314752 = 21031243
BaseRepresentation
bin1010000101101…
…0110000000000
32221121210221001
42201122300000
541313033002
64110541344
71022445424
oct241326000
987553831
1042314752
1121981777
1212207854
1389c731c
145896b84
153aaca87
hex285ac00

42314752 has 66 divisors (see below), whose sum is σ = 89437524. Its totient is φ = 19998720.

The previous prime is 42314743. The next prime is 42314803. The reversal of 42314752 is 25741324.

It is a self number, because there is not a number n which added to its sum of digits gives 42314752.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 984043 + ... + 984085.

It is an arithmetic number, because the mean of its divisors is an integer number (1355114).

Almost surely, 242314752 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 42314752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44718762).

42314752 is an abundant number, since it is smaller than the sum of its proper divisors (47122772).

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

42314752 is an equidigital number, since it uses as much as digits as its factorization.

42314752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 76 counting only the distinct ones).

The product of its digits is 6720, while the sum is 28.

The square root of 42314752 is about 6504.9790161076. The cubic root of 42314752 is about 348.4688268683.

The spelling of 42314752 in words is "forty-two million, three hundred fourteen thousand, seven hundred fifty-two".

Divisors: 1 2 4 8 16 31 32 43 62 64 86 124 128 172 248 256 344 496 512 688 961 992 1024 1333 1376 1922 1984 2666 2752 3844 3968 5332 5504 7688 7936 10664 11008 15376 15872 21328 22016 30752 31744 41323 42656 44032 61504 82646 85312 123008 165292 170624 246016 330584 341248 492032 661168 682496 984064 1322336 1364992 2644672 5289344 10578688 21157376 42314752