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405241705 = 51123172113
BaseRepresentation
bin11000001001110…
…111111101101001
31001020112102010001
4120021313331221
51312220213310
6104113423001
713020332461
oct3011677551
91036472101
10405241705
11198826100
12b386aa61
1365c583bb
143bb6aba1
152589b93a
hex18277f69

405241705 has 24 divisors (see below), whose sum is σ = 536457096. Its totient is φ = 293652480.

The previous prime is 405241693. The next prime is 405241721. The reversal of 405241705 is 507142504.

It can be written as a sum of positive squares in 4 ways, for example, as 42263001 + 362978704 = 6501^2 + 19052^2 .

It is not a de Polignac number, because 405241705 - 225 = 371687273 is a prime.

It is a Duffinian number.

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 23 ways as a sum of consecutive naturals, for example, 190729 + ... + 192841.

It is an arithmetic number, because the mean of its divisors is an integer number (22352379).

Almost surely, 2405241705 is an apocalyptic number.

It is an amenable number.

405241705 is a deficient number, since it is larger than the sum of its proper divisors (131215391).

405241705 is a wasteful number, since it uses less digits than its factorization.

405241705 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2457 (or 2446 counting only the distinct ones).

The product of its (nonzero) digits is 5600, while the sum is 28.

The square root of 405241705 is about 20130.6161107901. The cubic root of 405241705 is about 740.0107771744.

The spelling of 405241705 in words is "four hundred five million, two hundred forty-one thousand, seven hundred five".

Divisors: 1 5 11 55 121 317 605 1585 2113 3487 10565 17435 23243 38357 116215 191785 255673 669821 1278365 3349105 7368031 36840155 81048341 405241705