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426754304 = 285371443
BaseRepresentation
bin11001011011111…
…100000100000000
31002202000100211222
4121123330010000
51333222114204
6110202454212
713401231434
oct3133740400
91082010758
10426754304
111a9989909
12bab04368
136a54b152
144096a9c4
15276eaabe
hex196fc100

426754304 has 72 divisors (see below), whose sum is σ = 882124992. Its totient is φ = 205936640.

The previous prime is 426754301. The next prime is 426754319. The reversal of 426754304 is 403457624.

It is not an unprimeable number, because it can be changed into a prime (426754301) 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, 963107 + ... + 963549.

It is an arithmetic number, because the mean of its divisors is an integer number (12251736).

Almost surely, 2426754304 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 426754304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (441062496).

426754304 is an abundant number, since it is smaller than the sum of its proper divisors (455370688).

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

426754304 is an equidigital number, since it uses as much as digits as its factorization.

426754304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 583 (or 569 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 35.

The square root of 426754304 is about 20658.0324329303. The cubic root of 426754304 is about 752.8803632563.

The spelling of 426754304 in words is "four hundred twenty-six million, seven hundred fifty-four thousand, three hundred four".

Divisors: 1 2 4 8 16 32 53 64 71 106 128 142 212 256 284 424 443 568 848 886 1136 1696 1772 2272 3392 3544 3763 4544 6784 7088 7526 9088 13568 14176 15052 18176 23479 28352 30104 31453 46958 56704 60208 62906 93916 113408 120416 125812 187832 240832 251624 375664 481664 503248 751328 963328 1006496 1502656 1667009 2012992 3005312 3334018 4025984 6010624 6668036 8051968 13336072 26672144 53344288 106688576 213377152 426754304