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427088508 = 22373119433
BaseRepresentation
bin11001011101001…
…101101001111100
31002202122100021220
4121131031221330
51333313313013
6110213553340
713404123000
oct3135155174
91082570256
10427088508
111aa097a10
12bb045850
136a6372c2
1440a16700
1527764b23
hex1974da7c

427088508 has 96 divisors (see below), whose sum is σ = 1267929600. Its totient is φ = 110920320.

The previous prime is 427088491. The next prime is 427088579. The reversal of 427088508 is 805880724.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 427088508.

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, 40560 + ... + 49992.

It is an arithmetic number, because the mean of its divisors is an integer number (13207600).

Almost surely, 2427088508 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 427088508, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (633964800).

427088508 is an abundant number, since it is smaller than the sum of its proper divisors (840841092).

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

427088508 is a wasteful number, since it uses less digits than its factorization.

427088508 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9472 (or 9456 counting only the distinct ones).

The product of its (nonzero) digits is 143360, while the sum is 42.

The square root of 427088508 is about 20666.1198099692. The cubic root of 427088508 is about 753.0768463166.

The spelling of 427088508 in words is "four hundred twenty-seven million, eighty-eight thousand, five hundred eight".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 49 66 77 84 98 132 147 154 196 231 294 308 343 462 539 588 686 924 1029 1078 1372 1617 2058 2156 3234 3773 4116 6468 7546 9433 11319 15092 18866 22638 28299 37732 45276 56598 66031 103763 113196 132062 198093 207526 264124 311289 396186 415052 462217 622578 726341 792372 924434 1245156 1386651 1452682 1848868 2179023 2773302 2905364 3235519 4358046 5084387 5546604 6471038 8716092 9706557 10168774 12942076 15253161 19413114 20337548 30506322 35590709 38826228 61012644 71181418 106772127 142362836 213544254 427088508