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4202852841 = 3211225715017
BaseRepresentation
bin1111101010000010…
…0111000111101001
3101211220102001020100
43322200213013221
532101412242331
61533013420013
7206102442165
oct37240470751
911756361210
104202852841
111867445600
1299363a609
1351c967395
142bc279ca5
15198e94ae6
hexfa8271e9

4202852841 has 36 divisors (see below), whose sum is σ = 6699259476. Its totient is φ = 2537103360.

The previous prime is 4202852803. The next prime is 4202852873. The reversal of 4202852841 is 1482582024.

It can be written as a sum of positive squares in 2 ways, for example, as 3102935616 + 1099917225 = 55704^2 + 33165^2 .

It is not a de Polignac number, because 4202852841 - 27 = 4202852713 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 4202852796 and 4202852805.

It is not an unprimeable number, because it can be changed into a prime (4202852441) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 272365 + ... + 287381.

It is an arithmetic number, because the mean of its divisors is an integer number (186090541).

Almost surely, 24202852841 is an apocalyptic number.

It is an amenable number.

4202852841 is a deficient number, since it is larger than the sum of its proper divisors (2496406635).

4202852841 is a wasteful number, since it uses less digits than its factorization.

4202852841 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15302 (or 15288 counting only the distinct ones).

The product of its (nonzero) digits is 40960, while the sum is 36.

The square root of 4202852841 is about 64829.4133939217. The cubic root of 4202852841 is about 1613.7938693281.

The spelling of 4202852841 in words is "four billion, two hundred two million, eight hundred fifty-two thousand, eight hundred forty-one".

Divisors: 1 3 9 11 33 99 121 257 363 771 1089 2313 2827 8481 15017 25443 31097 45051 93291 135153 165187 279873 495561 1486683 1817057 3859369 5451171 11578107 16353513 34734321 42453059 127359177 382077531 466983649 1400950947 4202852841