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575424144 = 243219992
BaseRepresentation
bin100010010011000…
…100011010010000
31111002202120112100
4202103010122100
52134302033034
6133033200400
720155011261
oct4223043220
91432676470
10575424144
112758a2749
12140860100
13922a2779
14565ca968
15357b6099
hex224c4690

575424144 has 45 divisors (see below), whose sum is σ = 1611194403. Its totient is φ = 191712096.

The previous prime is 575424131. The next prime is 575424191. The reversal of 575424144 is 441424575.

The square root of 575424144 is 23988.

It is a perfect power (a square), and thus also a powerful number.

575424144 is a `hidden beast` number, since 575 + 4 + 2 + 41 + 44 = 666.

It is a super-2 number, since 2×5754241442 = 662225890996265472, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 575424099 and 575424108.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 286857 + ... + 288855.

Almost surely, 2575424144 is an apocalyptic number.

575424144 is the 23988-th square number.

It is an amenable number.

575424144 is an abundant number, since it is smaller than the sum of its proper divisors (1035770259).

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

575424144 is an equidigital number, since it uses as much as digits as its factorization.

575424144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4012 (or 2004 counting only the distinct ones).

The product of its digits is 89600, while the sum is 36.

The cubic root of 575424144 is about 831.7561615938.

Multiplying 575424144 by its sum of digits (36), we get a square (20715269184 = 1439282).

575424144 divided by its sum of digits (36) gives a square (15984004 = 39982).

The spelling of 575424144 in words is "five hundred seventy-five million, four hundred twenty-four thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 1999 3998 5997 7996 11994 15992 17991 23988 31984 35982 47976 71964 95952 143928 287856 3996001 7992002 11988003 15984004 23976006 31968008 35964009 47952012 63936016 71928018 95904024 143856036 191808048 287712072 575424144