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419924353 = 5310972689
BaseRepresentation
bin11001000001111…
…000100110000001
31002021011100220211
4121001320212001
51330000034403
6105400234121
713256204152
oct3101704601
91067140824
10419924353
111a6044422
12b876b941
1368cc9464
143daad929
1526cec06d
hex19078981

419924353 has 8 divisors (see below), whose sum is σ = 431778600. Its totient is φ = 408215808.

The previous prime is 419924341. The next prime is 419924371. The reversal of 419924353 is 353429914.

It can be written as a sum of positive squares in 4 ways, for example, as 53699584 + 366224769 = 7328^2 + 19137^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-419924353 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (419924303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30568 + ... + 42121.

It is an arithmetic number, because the mean of its divisors is an integer number (53972325).

Almost surely, 2419924353 is an apocalyptic number.

It is an amenable number.

419924353 is a deficient number, since it is larger than the sum of its proper divisors (11854247).

419924353 is a wasteful number, since it uses less digits than its factorization.

419924353 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72851.

The product of its digits is 116640, while the sum is 40.

The square root of 419924353 is about 20492.0558509877. The cubic root of 419924353 is about 748.8422748532.

The spelling of 419924353 in words is "four hundred nineteen million, nine hundred twenty-four thousand, three hundred fifty-three".

Divisors: 1 53 109 5777 72689 3852517 7923101 419924353