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426682048 = 26131797311
BaseRepresentation
bin11001011011101…
…010011011000000
31002201212200201211
4121123222123000
51333212311143
6110201135504
713400510662
oct3133523300
91081780654
10426682048
111a993a5a1
12baa8a594
136a5242b0
144094c532
15276d449d
hex196ea6c0

426682048 has 112 divisors (see below), whose sum is σ = 978554304. Its totient is φ = 182845440.

The previous prime is 426682037. The next prime is 426682049. The reversal of 426682048 is 840286624.

It is a self number, because there is not a number n which added to its sum of digits gives 426682048.

It is not an unprimeable number, because it can be changed into a prime (426682049) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1371813 + ... + 1372123.

It is an arithmetic number, because the mean of its divisors is an integer number (8737092).

Almost surely, 2426682048 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 426682048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (489277152).

426682048 is an abundant number, since it is smaller than the sum of its proper divisors (551872256).

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

426682048 is a wasteful number, since it uses less digits than its factorization.

426682048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 450 (or 440 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 40.

The square root of 426682048 is about 20656.2834992164. The cubic root of 426682048 is about 752.8378694891.

The spelling of 426682048 in words is "four hundred twenty-six million, six hundred eighty-two thousand, forty-eight".

Divisors: 1 2 4 8 13 16 17 26 32 34 52 64 68 97 104 136 194 208 221 272 311 388 416 442 544 622 776 832 884 1088 1244 1261 1552 1649 1768 2488 2522 3104 3298 3536 4043 4976 5044 5287 6208 6596 7072 8086 9952 10088 10574 13192 14144 16172 19904 20176 21148 21437 26384 30167 32344 40352 42296 42874 52768 60334 64688 68731 80704 84592 85748 105536 120668 129376 137462 169184 171496 241336 258752 274924 338368 342992 392171 482672 512839 549848 685984 784342 965344 1025678 1099696 1371968 1568684 1930688 2051356 2199392 3137368 4102712 4398784 6274736 6666907 8205424 12549472 13333814 16410848 25098944 26667628 32821696 53335256 106670512 213341024 426682048