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428154336 = 253555061
BaseRepresentation
bin11001100001010…
…001110111100000
31002211122111100000
4121201101313200
51334101414321
6110252500000
713416152241
oct3141216740
91084574300
10428154336
111aa755765
12bb47a600
136a91b47c
1440c12cc8
15278c5826
hex19851de0

428154336 has 72 divisors (see below), whose sum is σ = 1262681784. Its totient is φ = 142715520.

The previous prime is 428154313. The next prime is 428154373. The reversal of 428154336 is 633451824.

428154336 is a `hidden beast` number, since 4 + 2 + 81 + 543 + 36 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×4281543362 = 366632270871201792, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 428154336.

It is a congruent number.

It is an unprimeable number.

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, 19755 + ... + 35306.

It is an arithmetic number, because the mean of its divisors is an integer number (17537247).

Almost surely, 2428154336 is an apocalyptic number.

It is an amenable number.

428154336 is an abundant number, since it is smaller than the sum of its proper divisors (834527448).

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

428154336 is an equidigital number, since it uses as much as digits as its factorization.

428154336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55086 (or 55066 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

The square root of 428154336 is about 20691.8905854443. The cubic root of 428154336 is about 753.7027771707.

The spelling of 428154336 in words is "four hundred twenty-eight million, one hundred fifty-four thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 243 288 324 432 486 648 864 972 1296 1944 2592 3888 7776 55061 110122 165183 220244 330366 440488 495549 660732 880976 991098 1321464 1486647 1761952 1982196 2642928 2973294 3964392 4459941 5285856 5946588 7928784 8919882 11893176 13379823 15857568 17839764 23786352 26759646 35679528 47572704 53519292 71359056 107038584 142718112 214077168 428154336