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425312028 = 2232292631549
BaseRepresentation
bin11001010110011…
…011111100011100
31002122022002102100
4121112123330130
51332334441103
6110111525100
713353043521
oct3126337434
91078262370
10425312028
111a9094249
12ba529790
136a16482b
14406b3148
15275135a3
hex1959bf1c

425312028 has 72 divisors (see below), whose sum is σ = 1117116000. Its totient is φ = 136273536.

The previous prime is 425312009. The next prime is 425312059. The reversal of 425312028 is 820213524.

425312028 is a `hidden beast` number, since 425 + 31 + 202 + 8 = 666.

It is a super-2 number, since 2×4253120282 = 361780642322945568, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 425311992 and 425312010.

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 23 ways as a sum of consecutive naturals, for example, 273798 + ... + 275346.

It is an arithmetic number, because the mean of its divisors is an integer number (15515500).

Almost surely, 2425312028 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 425312028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (558558000).

425312028 is an abundant number, since it is smaller than the sum of its proper divisors (691803972).

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

425312028 is a wasteful number, since it uses less digits than its factorization.

425312028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1851 (or 1846 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 425312028 is about 20623.0945301621. The cubic root of 425312028 is about 752.0312510591.

The spelling of 425312028 in words is "four hundred twenty-five million, three hundred twelve thousand, twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 29 36 58 87 116 174 261 263 348 522 526 789 1044 1052 1549 1578 2367 3098 3156 4647 4734 6196 7627 9294 9468 13941 15254 18588 22881 27882 30508 44921 45762 55764 68643 89842 91524 134763 137286 179684 269526 274572 404289 407387 539052 808578 814774 1222161 1617156 1629548 2444322 3666483 4888644 7332966 11814223 14665932 23628446 35442669 47256892 70885338 106328007 141770676 212656014 425312028