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420789525 = 352131753479
BaseRepresentation
bin11001000101001…
…011110100010101
31002022210022201020
4121011023310111
51330210231100
6105430551353
713266436422
oct3105136425
91068708636
10420789525
111a6585442
12b8b08559
13692401b0
143dc56d49
1526e1d5a0
hex1914bd15

420789525 has 96 divisors (see below), whose sum is σ = 809948160. Its totient is φ = 190894080.

The previous prime is 420789521. The next prime is 420789527. The reversal of 420789525 is 525987024.

It is not a de Polignac number, because 420789525 - 22 = 420789521 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420789521) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 878236 + ... + 878714.

It is an arithmetic number, because the mean of its divisors is an integer number (8436960).

Almost surely, 2420789525 is an apocalyptic number.

It is an amenable number.

420789525 is a deficient number, since it is larger than the sum of its proper divisors (389158635).

420789525 is a wasteful number, since it uses less digits than its factorization.

420789525 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 575 (or 570 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 42.

The square root of 420789525 is about 20513.1549255594. The cubic root of 420789525 is about 749.3562030811.

The spelling of 420789525 in words is "four hundred twenty million, seven hundred eighty-nine thousand, five hundred twenty-five".

Divisors: 1 3 5 13 15 17 25 39 51 53 65 75 85 159 195 221 255 265 325 425 479 663 689 795 901 975 1105 1275 1325 1437 2067 2395 2703 3315 3445 3975 4505 5525 6227 7185 8143 10335 11713 11975 13515 16575 17225 18681 22525 24429 25387 31135 35139 35925 40715 51675 58565 67575 76161 93405 105859 122145 126935 155675 175695 203575 292825 317577 330031 380805 431579 467025 529295 610725 634675 878475 990093 1294737 1587885 1650155 1904025 2157895 2646475 4950465 5610527 6473685 7939425 8250775 10789475 16831581 24752325 28052635 32368425 84157905 140263175 420789525