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575156240 = 24517224877
BaseRepresentation
bin100010010010000…
…011000000010000
31111002020222000222
4202102003000100
52134214444430
6133023332212
720152514231
oct4222030020
91432228028
10575156240
1127572a43a
12140751068
139220a849
145655b088
15357619e5
hex22483010

575156240 has 60 divisors (see below), whose sum is σ = 1420583556. Its totient is φ = 216520704.

The previous prime is 575156227. The next prime is 575156243. The reversal of 575156240 is 42651575.

It can be written as a sum of positive squares in 6 ways, for example, as 12138256 + 563017984 = 3484^2 + 23728^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 575156240.

It is not an unprimeable number, because it can be changed into a prime (575156243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10682 + ... + 35558.

Almost surely, 2575156240 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 575156240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (710291778).

575156240 is an abundant number, since it is smaller than the sum of its proper divisors (845427316).

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

575156240 is a wasteful number, since it uses less digits than its factorization.

575156240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24924 (or 24901 counting only the distinct ones).

The product of its (nonzero) digits is 42000, while the sum is 35.

The square root of 575156240 is about 23982.4152244931. The cubic root of 575156240 is about 831.6270594955.

The spelling of 575156240 in words is "five hundred seventy-five million, one hundred fifty-six thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 80 85 136 170 272 289 340 578 680 1156 1360 1445 2312 2890 4624 5780 11560 23120 24877 49754 99508 124385 199016 248770 398032 422909 497540 845818 995080 1691636 1990160 2114545 3383272 4229090 6766544 7189453 8458180 14378906 16916360 28757812 33832720 35947265 57515624 71894530 115031248 143789060 287578120 575156240