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813350454 = 237611671901
BaseRepresentation
bin110000011110101…
…011111000110110
32002200110111001220
4300132223320312
53131204203304
6212412531210
726104236060
oct6036537066
92080414056
10813350454
1138812a264
121a8480b06
13cc678777
147a042730
154b612ad9
hex307abe36

813350454 has 64 divisors (see below), whose sum is σ = 1901878272. Its totient is φ = 227088000.

The previous prime is 813350437. The next prime is 813350471. The reversal of 813350454 is 454053318.

It is an interprime number because it is at equal distance from previous prime (813350437) and next prime (813350471).

It is a super-2 number, since 2×8133504542 = 1323077922044012232, which contains 22 as substring.

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 31 ways as a sum of consecutive naturals, for example, 426904 + ... + 428804.

It is an arithmetic number, because the mean of its divisors is an integer number (29716848).

Almost surely, 2813350454 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 813350454, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (950939136).

813350454 is an abundant number, since it is smaller than the sum of its proper divisors (1088527818).

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

813350454 is a wasteful number, since it uses less digits than its factorization.

813350454 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2141.

The product of its (nonzero) digits is 28800, while the sum is 33.

The square root of 813350454 is about 28519.2996758336. The cubic root of 813350454 is about 933.4532478864.

The spelling of 813350454 in words is "eight hundred thirteen million, three hundred fifty thousand, four hundred fifty-four".

Divisors: 1 2 3 6 7 14 21 42 61 122 167 183 334 366 427 501 854 1002 1169 1281 1901 2338 2562 3507 3802 5703 7014 10187 11406 13307 20374 26614 30561 39921 61122 71309 79842 115961 142618 213927 231922 317467 347883 427854 634934 695766 811727 952401 1623454 1904802 2222269 2435181 4444538 4870362 6666807 13333614 19365487 38730974 58096461 116192922 135558409 271116818 406675227 813350454