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425306808 = 233329431579
BaseRepresentation
bin11001010110011…
…010101010111000
31002122021211021000
4121112122222320
51332334304213
6110111445000
713353022353
oct3126325270
91078254230
10425306808
111a9090333
12ba526760
136a162344
14406b129a
1527511c73
hex1959aab8

425306808 has 128 divisors (see below), whose sum is σ = 1251360000. Its totient is φ = 133612416.

The previous prime is 425306797. The next prime is 425306809. The reversal of 425306808 is 808603524.

425306808 is a `hidden beast` number, since 42 + 530 + 6 + 80 + 8 = 666.

It is a super-2 number, since 2×4253068082 = 361771761862297728, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (425306809) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 268563 + ... + 270141.

It is an arithmetic number, because the mean of its divisors is an integer number (9776250).

Almost surely, 2425306808 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 425306808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (625680000).

425306808 is an abundant number, since it is smaller than the sum of its proper divisors (826053192).

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

425306808 is a wasteful number, since it uses less digits than its factorization.

425306808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1666 (or 1656 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 425306808 is about 20622.9679726270. The cubic root of 425306808 is about 752.0281744009.

The spelling of 425306808 in words is "four hundred twenty-five million, three hundred six thousand, eight hundred eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 29 36 43 54 58 72 86 87 108 116 129 172 174 216 232 258 261 344 348 387 516 522 696 774 783 1032 1044 1161 1247 1548 1566 1579 2088 2322 2494 3096 3132 3158 3741 4644 4737 4988 6264 6316 7482 9288 9474 9976 11223 12632 14211 14964 18948 22446 28422 29928 33669 37896 42633 44892 45791 56844 67338 67897 85266 89784 91582 113688 134676 135794 137373 170532 183164 203691 269352 271588 274746 341064 366328 407382 412119 543176 549492 611073 814764 824238 1098984 1222146 1236357 1629528 1648476 1833219 1969013 2444292 2472714 3296952 3666438 3938026 4888584 4945428 5907039 7332876 7876052 9890856 11814078 14665752 15752104 17721117 23628156 35442234 47256312 53163351 70884468 106326702 141768936 212653404 425306808