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575088072 = 233132711997
BaseRepresentation
bin100010010001110…
…010010111001000
31111002010111112020
4202101302113020
52134210304242
6133022044440
720152111416
oct4221622710
91432114466
10575088072
112756931a9
12140719720
13921b5800
14565402b6
153574b6ec
hex224725c8

575088072 has 96 divisors (see below), whose sum is σ = 1579538880. Its totient is φ = 174370560.

The previous prime is 575088061. The next prime is 575088089. The reversal of 575088072 is 270880575.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 286978 + ... + 288974.

It is an arithmetic number, because the mean of its divisors is an integer number (16453530).

Almost surely, 2575088072 is an apocalyptic number.

575088072 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 575088072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (789769440).

575088072 is an abundant number, since it is smaller than the sum of its proper divisors (1004450808).

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

575088072 is a wasteful number, since it uses less digits than its factorization.

575088072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2103 (or 2086 counting only the distinct ones).

The product of its (nonzero) digits is 156800, while the sum is 42.

The square root of 575088072 is about 23980.9939743956. The cubic root of 575088072 is about 831.5942031519.

The spelling of 575088072 in words is "five hundred seventy-five million, eighty-eight thousand, seventy-two".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 71 78 104 142 156 169 213 284 312 338 426 507 568 676 852 923 1014 1352 1704 1846 1997 2028 2769 3692 3994 4056 5538 5991 7384 7988 11076 11982 11999 15976 22152 23964 23998 25961 35997 47928 47996 51922 71994 77883 95992 103844 141787 143988 155766 207688 283574 287976 311532 337493 425361 567148 623064 674986 850722 1012479 1134296 1349972 1701444 1843231 2024958 2699944 3402888 3686462 4049916 5529693 7372924 8099832 11059386 14745848 22118772 23962003 44237544 47924006 71886009 95848012 143772018 191696024 287544036 575088072