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427594496 = 287376449
BaseRepresentation
bin11001011111001…
…001001100000000
31002210121001101012
4121133021030000
51333431010441
6110232500052
713411331120
oct3137111400
91083531335
10427594496
111aa40308a
12bb24a628
136a7836c4
1440b08c80
15278149eb
hex197c9300

427594496 has 72 divisors (see below), whose sum is σ = 1001968800. Its totient is φ = 178274304.

The previous prime is 427594493. The next prime is 427594499. The reversal of 427594496 is 694495724.

It is an interprime number because it is at equal distance from previous prime (427594493) and next prime (427594499).

It is not an unprimeable number, because it can be changed into a prime (427594493) 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, 63080 + ... + 69528.

Almost surely, 2427594496 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 427594496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (500984400).

427594496 is an abundant number, since it is smaller than the sum of its proper divisors (574374304).

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

427594496 is an equidigital number, since it uses as much as digits as its factorization.

427594496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6509 (or 6495 counting only the distinct ones).

The product of its digits is 2177280, while the sum is 50.

The square root of 427594496 is about 20678.3581553275. The cubic root of 427594496 is about 753.3741285415.

The spelling of 427594496 in words is "four hundred twenty-seven million, five hundred ninety-four thousand, four hundred ninety-six".

Divisors: 1 2 4 7 8 14 16 28 32 37 56 64 74 112 128 148 224 256 259 296 448 518 592 896 1036 1184 1792 2072 2368 4144 4736 6449 8288 9472 12898 16576 25796 33152 45143 51592 66304 90286 103184 180572 206368 238613 361144 412736 477226 722288 825472 954452 1444576 1650944 1670291 1908904 2889152 3340582 3817808 5778304 6681164 7635616 11556608 13362328 15271232 26724656 30542464 53449312 61084928 106898624 213797248 427594496