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420248570 = 25729241859
BaseRepresentation
bin11001000011000…
…111101111111010
31002021202211122212
4121003013233322
51330040423240
6105411215122
713262024330
oct3103075772
91067684585
10420248570
111a6245a75
12b88a74a2
13690b0bc1
143db55b50
1526d63165
hex190c7bfa

420248570 has 64 divisors (see below), whose sum is σ = 899078400. Its totient is φ = 138378240.

The previous prime is 420248567. The next prime is 420248603. The reversal of 420248570 is 75842024.

It is a super-3 number, since 3×4202485703 (a number of 27 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 488801 + ... + 489659.

It is an arithmetic number, because the mean of its divisors is an integer number (14048100).

Almost surely, 2420248570 is an apocalyptic number.

420248570 is an abundant number, since it is smaller than the sum of its proper divisors (478829830).

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

420248570 is a wasteful number, since it uses less digits than its factorization.

420248570 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1143.

The product of its (nonzero) digits is 17920, while the sum is 32.

The square root of 420248570 is about 20499.9651219215. The cubic root of 420248570 is about 749.0349483961.

The spelling of 420248570 in words is "four hundred twenty million, two hundred forty-eight thousand, five hundred seventy".

Divisors: 1 2 5 7 10 14 29 35 58 70 145 203 241 290 406 482 859 1015 1205 1687 1718 2030 2410 3374 4295 6013 6989 8435 8590 12026 13978 16870 24911 30065 34945 48923 49822 60130 69890 97846 124555 174377 207019 244615 249110 348754 414038 489230 871885 1035095 1449133 1743770 2070190 2898266 6003551 7245665 12007102 14491330 30017755 42024857 60035510 84049714 210124285 420248570