Search a number
-
+
575066112 = 212353883
BaseRepresentation
bin100010010001101…
…101000000000000
31111002002101101220
4202101231000000
52134204103422
6133021355040
720151660405
oct4221550000
91432071356
10575066112
11275678755
12140708a80
13921a880a
14565362ac
1535744e5c
hex2246d000

575066112 has 104 divisors (see below), whose sum is σ = 1564022304. Its totient is φ = 187858944.

The previous prime is 575066111. The next prime is 575066147. The reversal of 575066112 is 211660575.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (575066111) 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, 650823 + ... + 651705.

It is an arithmetic number, because the mean of its divisors is an integer number (15038676).

Almost surely, 2575066112 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 575066112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (782011152).

575066112 is an abundant number, since it is smaller than the sum of its proper divisors (988956192).

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

575066112 is an equidigital number, since it uses as much as digits as its factorization.

575066112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 963 (or 941 counting only the distinct ones).

The product of its (nonzero) digits is 12600, while the sum is 33.

The square root of 575066112 is about 23980.5361074351. The cubic root of 575066112 is about 831.5836180826.

The spelling of 575066112 in words is "five hundred seventy-five million, sixty-six thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 53 64 96 106 128 159 192 212 256 318 384 424 512 636 768 848 883 1024 1272 1536 1696 1766 2048 2544 2649 3072 3392 3532 4096 5088 5298 6144 6784 7064 10176 10596 12288 13568 14128 20352 21192 27136 28256 40704 42384 46799 54272 56512 81408 84768 93598 108544 113024 140397 162816 169536 187196 217088 226048 280794 325632 339072 374392 452096 561588 651264 678144 748784 904192 1123176 1356288 1497568 1808384 2246352 2712576 2995136 3616768 4492704 5425152 5990272 8985408 10850304 11980544 17970816 23961088 35941632 47922176 71883264 95844352 143766528 191688704 287533056 575066112