Search a number
-
+
801919456 = 25131927691
BaseRepresentation
bin101111110011000…
…101000111100000
32001212221201200121
4233303011013200
53120242410311
6211323530024
725605126412
oct5763050740
92055851617
10801919456
11381731a58
121a4689914
13ca1a5770
14787089b2
154a605b71
hex2fcc51e0

801919456 has 24 divisors (see below), whose sum is σ = 1700224344. Its totient is φ = 370116480.

The previous prime is 801919423. The next prime is 801919457. The reversal of 801919456 is 654919108.

801919456 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×8019194562 = 1286149627822671872, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (801919457) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 963430 + ... + 964261.

It is an arithmetic number, because the mean of its divisors is an integer number (70842681).

Almost surely, 2801919456 is an apocalyptic number.

It is an amenable number.

801919456 is an abundant number, since it is smaller than the sum of its proper divisors (898304888).

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

801919456 is a wasteful number, since it uses less digits than its factorization.

801919456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1927714 (or 1927706 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 43.

The square root of 801919456 is about 28318.1824275500. The cubic root of 801919456 is about 929.0596175207.

The spelling of 801919456 in words is "eight hundred one million, nine hundred nineteen thousand, four hundred fifty-six".

Divisors: 1 2 4 8 13 16 26 32 52 104 208 416 1927691 3855382 7710764 15421528 25059983 30843056 50119966 61686112 100239932 200479864 400959728 801919456