Search a number
-
+
575676080 = 24574125073
BaseRepresentation
bin100010010100000…
…001111010110000
31111010020101010022
4202110001322300
52134333113310
6133042423012
720160110630
oct4224017260
91433211108
10575676080
11275a54a61
12140961a68
1392360345
14566546c0
1535815a55
hex22501eb0

575676080 has 80 divisors (see below), whose sum is σ = 1567024704. Its totient is φ = 192552960.

The previous prime is 575676067. The next prime is 575676097. The reversal of 575676080 is 80676575.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 10424 + ... + 35496.

Almost surely, 2575676080 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 575676080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (783512352).

575676080 is an abundant number, since it is smaller than the sum of its proper divisors (991348624).

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

575676080 is a wasteful number, since it uses less digits than its factorization.

575676080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25134 (or 25128 counting only the distinct ones).

The product of its (nonzero) digits is 352800, while the sum is 44.

The square root of 575676080 is about 23993.2507176497. The cubic root of 575676080 is about 831.8775322082.

The spelling of 575676080 in words is "five hundred seventy-five million, six hundred seventy-six thousand, eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 41 56 70 80 82 112 140 164 205 280 287 328 410 560 574 656 820 1148 1435 1640 2296 2870 3280 4592 5740 11480 22960 25073 50146 100292 125365 175511 200584 250730 351022 401168 501460 702044 877555 1002920 1027993 1404088 1755110 2005840 2055986 2808176 3510220 4111972 5139965 7020440 7195951 8223944 10279930 14040880 14391902 16447888 20559860 28783804 35979755 41119720 57567608 71959510 82239440 115135216 143919020 287838040 575676080