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801446401 = 72147111119
BaseRepresentation
bin101111110001010…
…001101000000001
32001212001200210001
4233301101220001
53120132241101
6211305440001
725601116300
oct5761215001
92055050701
10801446401
113814395a8
121a44a0001
13ca06b352
1478624437
154a560901
hex2fc51a01

801446401 has 12 divisors (see below), whose sum is σ = 933012480. Its totient is φ = 686425320.

The previous prime is 801446377. The next prime is 801446447. The reversal of 801446401 is 104644108.

It is not a de Polignac number, because 801446401 - 29 = 801445889 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 801446401.

It is not an unprimeable number, because it can be changed into a prime (801446101) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 66520 + ... + 77638.

It is an arithmetic number, because the mean of its divisors is an integer number (77751040).

Almost surely, 2801446401 is an apocalyptic number.

It is an amenable number.

801446401 is a deficient number, since it is larger than the sum of its proper divisors (131566079).

801446401 is a wasteful number, since it uses less digits than its factorization.

801446401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12604 (or 12597 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 28.

The square root of 801446401 is about 28309.8286995877. The cubic root of 801446401 is about 928.8768964496.

The spelling of 801446401 in words is "eight hundred one million, four hundred forty-six thousand, four hundred one".

Divisors: 1 7 49 1471 10297 11119 72079 77833 544831 16356049 114492343 801446401