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426010896 = 24323722161
BaseRepresentation
bin11001011001000…
…110100100010000
31002200121121002100
4121121012210100
51333024322041
6110134520400
713362014163
oct3131064420
91080547070
10426010896
111a9521323
12ba806100
136a34a96c
1440815ada
15276006b6
hex19646910

426010896 has 90 divisors (see below), whose sum is σ = 1225899402. Its totient is φ = 138101760.

The previous prime is 426010891. The next prime is 426010903. The reversal of 426010896 is 698010624.

426010896 is a `hidden beast` number, since 42 + 601 + 0 + 8 + 9 + 6 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 266342400 + 159668496 = 16320^2 + 12636^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 426010896.

It is not an unprimeable number, because it can be changed into a prime (426010891) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 196056 + ... + 198216.

Almost surely, 2426010896 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 426010896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (612949701).

426010896 is an abundant number, since it is smaller than the sum of its proper divisors (799888506).

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

426010896 is a wasteful number, since it uses less digits than its factorization.

426010896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2249 (or 2203 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 426010896 is about 20640.0313953250. The cubic root of 426010896 is about 752.4429354490.

The spelling of 426010896 in words is "four hundred twenty-six million, ten thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 37 48 72 74 111 144 148 222 296 333 444 592 666 888 1332 1369 1776 2161 2664 2738 4107 4322 5328 5476 6483 8214 8644 10952 12321 12966 16428 17288 19449 21904 24642 25932 32856 34576 38898 49284 51864 65712 77796 79957 98568 103728 155592 159914 197136 239871 311184 319828 479742 639656 719613 959484 1279312 1439226 1918968 2878452 2958409 3837936 5756904 5916818 8875227 11513808 11833636 17750454 23667272 26625681 35500908 47334544 53251362 71001816 106502724 142003632 213005448 426010896