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426448896 = 2113312239
BaseRepresentation
bin11001011010110…
…001100000000000
31002201102211220120
4121122301200000
51333132331041
6110152140240
713365520146
oct3132614000
91081384816
10426448896
111a97a0405
12ba997680
136a472133
14408cb596
152768a366
hex196b1800

426448896 has 96 divisors (see below), whose sum is σ = 1174118400. Its totient is φ = 137502720.

The previous prime is 426448889. The next prime is 426448969. The reversal of 426448896 is 698844624.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 189345 + ... + 191583.

It is an arithmetic number, because the mean of its divisors is an integer number (12230400).

Almost surely, 2426448896 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 426448896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (587059200).

426448896 is an abundant number, since it is smaller than the sum of its proper divisors (747669504).

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

426448896 is a wasteful number, since it uses less digits than its factorization.

426448896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2295 (or 2275 counting only the distinct ones).

The product of its digits is 2654208, while the sum is 51.

The square root of 426448896 is about 20650.6391184389. The cubic root of 426448896 is about 752.7007200306.

The spelling of 426448896 in words is "four hundred twenty-six million, four hundred forty-eight thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 64 93 96 124 128 186 192 248 256 372 384 496 512 744 768 992 1024 1488 1536 1984 2048 2239 2976 3072 3968 4478 5952 6144 6717 7936 8956 11904 13434 15872 17912 23808 26868 31744 35824 47616 53736 63488 69409 71648 95232 107472 138818 143296 190464 208227 214944 277636 286592 416454 429888 555272 573184 832908 859776 1110544 1146368 1665816 1719552 2221088 2292736 3331632 3439104 4442176 4585472 6663264 6878208 8884352 13326528 13756416 17768704 26653056 35537408 53306112 71074816 106612224 142149632 213224448 426448896