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575808016 = 24728572
BaseRepresentation
bin100010010100100…
…010001000010000
31111010111002002211
4202110202020100
52134401324031
6133045321504
720161200400
oct4224421020
91433432084
10575808016
112760350a3
12140a06294
13923a8404
145668a800
153583ebb1
hex22522210

575808016 has 45 divisors (see below), whose sum is σ = 1299287469. Its totient is φ = 246486912.

The previous prime is 575807971. The next prime is 575808031. The reversal of 575808016 is 610808575.

The square root of 575808016 is 23996.

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

It can be written as a sum of positive squares in only one way, i.e., 533610000 + 42198016 = 23100^2 + 6496^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 575808016.

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, 671460 + ... + 672316.

Almost surely, 2575808016 is an apocalyptic number.

575808016 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

575808016 is the 23996-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 575808016

575808016 is an abundant number, since it is smaller than the sum of its proper divisors (723479453).

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

575808016 is an frugal number, since it uses more digits than its factorization.

575808016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1736 (or 866 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 40.

The cubic root of 575808016 is about 831.9410784827.

The spelling of 575808016 in words is "five hundred seventy-five million, eight hundred eight thousand, sixteen".

Divisors: 1 2 4 7 8 14 16 28 49 56 98 112 196 392 784 857 1714 3428 5999 6856 11998 13712 23996 41993 47992 83986 95984 167972 335944 671888 734449 1468898 2937796 5141143 5875592 10282286 11751184 20564572 35988001 41129144 71976002 82258288 143952004 287904008 575808016