Search a number
-
+
426144384 = 2732369917
BaseRepresentation
bin11001011001100…
…111001010000000
31002200212101012100
4121121213022000
51333043110014
6110141430400
713363111311
oct3131471200
91080771170
10426144384
111a9602646
12ba86b400
136a396653
144084c608
152762a009
hex19667280

426144384 has 48 divisors (see below), whose sum is σ = 1226278170. Its totient is φ = 142047744.

The previous prime is 426144379. The next prime is 426144401. The reversal of 426144384 is 483441624.

426144384 is a `hidden beast` number, since 4 + 2 + 614 + 4 + 38 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 373262400 + 52881984 = 19320^2 + 7272^2 .

It is a tau number, because it is divible by the number of its divisors (48).

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

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 183807 + ... + 186110.

Almost surely, 2426144384 is an apocalyptic number.

It is an amenable number.

426144384 is an abundant number, since it is smaller than the sum of its proper divisors (800133786).

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

426144384 is a wasteful number, since it uses less digits than its factorization.

426144384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 369937 (or 369922 counting only the distinct ones).

The product of its digits is 73728, while the sum is 36.

The square root of 426144384 is about 20643.2648580596. The cubic root of 426144384 is about 752.5215184260.

The spelling of 426144384 in words is "four hundred twenty-six million, one hundred forty-four thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 369917 739834 1109751 1479668 2219502 2959336 3329253 4439004 5918672 6658506 8878008 11837344 13317012 17756016 23674688 26634024 35512032 47349376 53268048 71024064 106536096 142048128 213072192 426144384