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414052616 = 2331253857
BaseRepresentation
bin11000101011011…
…111000100001000
31001212010001102002
4120223133010020
51321444140431
6105030330132
713155250325
oct3053370410
91055101362
10414052616
111a27a394a
12b67b9948
1367a21963
143cdc1b4c
152653c3cb
hex18adf108

414052616 has 24 divisors (see below), whose sum is σ = 802214910. Its totient is φ = 200344320.

The previous prime is 414052609. The next prime is 414052621. The reversal of 414052616 is 616250414.

It can be written as a sum of positive squares in only one way, i.e., 386279716 + 27772900 = 19654^2 + 5270^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 19241 + ... + 34616.

Almost surely, 2414052616 is an apocalyptic number.

It is an amenable number.

414052616 is a deficient number, since it is larger than the sum of its proper divisors (388162294).

414052616 is a wasteful number, since it uses less digits than its factorization.

414052616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53925 (or 53890 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 29.

The square root of 414052616 is about 20348.2828759579. The cubic root of 414052616 is about 745.3355640401.

The spelling of 414052616 in words is "four hundred fourteen million, fifty-two thousand, six hundred sixteen".

Divisors: 1 2 4 8 31 62 124 248 961 1922 3844 7688 53857 107714 215428 430856 1669567 3339134 6678268 13356536 51756577 103513154 207026308 414052616