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576242240 = 26571731487
BaseRepresentation
bin100010010110001…
…100001001000000
31111011022010202012
4202112030021000
52140004222430
6133102512052
720164656350
oct4226141100
91434263665
10576242240
11276301362
12140b95628
13924cac52
1456760b60
15358c8695
hex2258c240

576242240 has 112 divisors (see below), whose sum is σ = 1578327552. Its totient is φ = 196294656.

The previous prime is 576242239. The next prime is 576242273. The reversal of 576242240 is 42242675.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 576242197 and 576242206.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 386777 + ... + 388263.

Almost surely, 2576242240 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 576242240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (789163776).

576242240 is an abundant number, since it is smaller than the sum of its proper divisors (1002085312).

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

576242240 is a wasteful number, since it uses less digits than its factorization.

576242240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1684 (or 1674 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 32.

The square root of 576242240 is about 24005.0461361773. The cubic root of 576242240 is about 832.1501516479.

The spelling of 576242240 in words is "five hundred seventy-six million, two hundred forty-two thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 140 160 173 224 280 320 346 448 560 692 865 1120 1211 1384 1487 1730 2240 2422 2768 2974 3460 4844 5536 5948 6055 6920 7435 9688 10409 11072 11896 12110 13840 14870 19376 20818 23792 24220 27680 29740 38752 41636 47584 48440 52045 55360 59480 77504 83272 95168 96880 104090 118960 166544 193760 208180 237920 257251 333088 387520 416360 475840 514502 666176 832720 1029004 1286255 1665440 1800757 2058008 2572510 3330880 3601514 4116016 5145020 7203028 8232032 9003785 10290040 14406056 16464064 18007570 20580080 28812112 36015140 41160160 57624224 72030280 82320320 115248448 144060560 288121120 576242240