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419697985 = 57214911497
BaseRepresentation
bin11001000001000…
…001010101000001
31002020201212101211
4121001001111001
51324420313420
6105351330121
713254242200
oct3101012501
91066655354
10419697985
111a59aa343
12b8680941
1368c4a405
143da51237
1526ca4e5a
hex19041541

419697985 has 24 divisors (see below), whose sum is σ = 589847400. Its totient is φ = 285836544.

The previous prime is 419697979. The next prime is 419697991. The reversal of 419697985 is 589796914.

It is an interprime number because it is at equal distance from previous prime (419697979) and next prime (419697991).

It can be written as a sum of positive squares in 4 ways, for example, as 9878449 + 409819536 = 3143^2 + 20244^2 .

It is not a de Polignac number, because 419697985 - 213 = 419689793 is a prime.

It is a super-2 number, since 2×4196979852 = 352292797226120450, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30757 + ... + 42253.

It is an arithmetic number, because the mean of its divisors is an integer number (24576975).

Almost surely, 2419697985 is an apocalyptic number.

It is an amenable number.

419697985 is a deficient number, since it is larger than the sum of its proper divisors (170149415).

419697985 is a wasteful number, since it uses less digits than its factorization.

419697985 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11665 (or 11658 counting only the distinct ones).

The product of its digits is 4898880, while the sum is 58.

The square root of 419697985 is about 20486.5317953040. The cubic root of 419697985 is about 748.7076915679.

The spelling of 419697985 in words is "four hundred nineteen million, six hundred ninety-seven thousand, nine hundred eighty-five".

Divisors: 1 5 7 35 49 149 245 745 1043 5215 7301 11497 36505 57485 80479 402395 563353 1713053 2816765 8565265 11991371 59956855 83939597 419697985