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401406416 = 2443735737
BaseRepresentation
bin10111111011001…
…111100111010000
31000222022120002022
4113323033213100
51310230001131
6103455311012
712642620045
oct2773174720
91028276068
10401406416
11196646644
12b251b468
13652147b8
143b44d1cc
152539037b
hex17ecf9d0

401406416 has 20 divisors (see below), whose sum is σ = 778038372. Its totient is φ = 200622336.

The previous prime is 401406403. The next prime is 401406433. The reversal of 401406416 is 614604104.

It can be written as a sum of positive squares in 2 ways, for example, as 84566416 + 316840000 = 9196^2 + 17800^2 .

It is a super-2 number, since 2×4014064162 = 322254221611930112, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 67100 + ... + 72836.

Almost surely, 2401406416 is an apocalyptic number.

It is an amenable number.

401406416 is a deficient number, since it is larger than the sum of its proper divisors (376631956).

401406416 is a wasteful number, since it uses less digits than its factorization.

401406416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10118 (or 10112 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

The square root of 401406416 is about 20035.1295478717. The cubic root of 401406416 is about 737.6688364194.

The spelling of 401406416 in words is "four hundred one million, four hundred six thousand, four hundred sixteen".

Divisors: 1 2 4 8 16 4373 5737 8746 11474 17492 22948 34984 45896 69968 91792 25087901 50175802 100351604 200703208 401406416