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401909445 = 3457141767
BaseRepresentation
bin10111111101001…
…010011011000101
31001000021010010000
4113331022123011
51310342100240
6103514151513
712650113440
oct2775123305
91030233100
10401909445
1119695a573
12b2722599
136535c752
143b540657
152543e430
hex17f4a6c5

401909445 has 40 divisors (see below), whose sum is σ = 823388544. Its totient is φ = 183728736.

The previous prime is 401909423. The next prime is 401909479. The reversal of 401909445 is 544909104.

It is a happy number.

It is not a de Polignac number, because 401909445 - 212 = 401905349 is a prime.

It is a congruent 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 39 ways as a sum of consecutive naturals, for example, 68049 + ... + 73718.

Almost surely, 2401909445 is an apocalyptic number.

401909445 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

401909445 is an abundant number, since it is smaller than the sum of its proper divisors (421479099).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

401909445 is a wasteful number, since it uses less digits than its factorization.

401909445 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141791 (or 141782 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 401909445 is about 20047.6792921276. The cubic root of 401909445 is about 737.9768483715.

The spelling of 401909445 in words is "four hundred one million, nine hundred nine thousand, four hundred forty-five".

Divisors: 1 3 5 7 9 15 21 27 35 45 63 81 105 135 189 315 405 567 945 2835 141767 425301 708835 992369 1275903 2126505 2977107 3827709 4961845 6379515 8931321 11483127 14885535 19138545 26793963 44656605 57415635 80381889 133969815 401909445