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426314752 = 210232787
BaseRepresentation
bin11001011010010…
…000110000000000
31002201012000220021
4121122100300000
51333114033002
6110145223224
713364421103
oct3132206000
91081160807
10426314752
111a9709646
12ba931b14
136a426066
144089473a
1527660737
hex19690c00

426314752 has 66 divisors (see below), whose sum is σ = 892008908. Its totient is φ = 203630592.

The previous prime is 426314747. The next prime is 426314767. The reversal of 426314752 is 257413624.

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, 541303 + ... + 542089.

Almost surely, 2426314752 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 426314752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (446004454).

426314752 is an abundant number, since it is smaller than the sum of its proper divisors (465694156).

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

426314752 is an equidigital number, since it uses as much as digits as its factorization.

426314752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 853 (or 812 counting only the distinct ones).

The product of its digits is 40320, while the sum is 34.

The square root of 426314752 is about 20647.3909247634. The cubic root of 426314752 is about 752.6217884359.

The spelling of 426314752 in words is "four hundred twenty-six million, three hundred fourteen thousand, seven hundred fifty-two".

Divisors: 1 2 4 8 16 23 32 46 64 92 128 184 256 368 512 529 736 787 1024 1058 1472 1574 2116 2944 3148 4232 5888 6296 8464 11776 12592 16928 18101 23552 25184 33856 36202 50368 67712 72404 100736 135424 144808 201472 270848 289616 402944 416323 541696 579232 805888 832646 1158464 1665292 2316928 3330584 4633856 6661168 9267712 13322336 18535424 26644672 53289344 106578688 213157376 426314752