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814148748 = 223273230749
BaseRepresentation
bin110000100001101…
…110110010001100
32002201222001010100
4300201232302030
53131410224443
6212442011100
726114102340
oct6041566214
92081861110
10814148748
11388625006
121a87a6a90
13cc897c2a
147a1ad620
154b71e3d3
hex3086ec8c

814148748 has 36 divisors (see below), whose sum is σ = 2351986000. Its totient is φ = 232613856.

The previous prime is 814148701. The next prime is 814148749. The reversal of 814148748 is 847841418.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (814148749) 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, 1615123 + ... + 1615626.

Almost surely, 2814148748 is an apocalyptic number.

It is an amenable number.

814148748 is an abundant number, since it is smaller than the sum of its proper divisors (1537837252).

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

814148748 is a wasteful number, since it uses less digits than its factorization.

814148748 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3230766 (or 3230761 counting only the distinct ones).

The product of its digits is 229376, while the sum is 45.

The square root of 814148748 is about 28533.2919236460. The cubic root of 814148748 is about 933.7585391928.

The spelling of 814148748 in words is "eight hundred fourteen million, one hundred forty-eight thousand, seven hundred forty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 3230749 6461498 9692247 12922996 19384494 22615243 29076741 38768988 45230486 58153482 67845729 90460972 116306964 135691458 203537187 271382916 407074374 814148748