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427134825 = 325213247239
BaseRepresentation
bin11001011101011…
…000111101101001
31002202201200211100
4121131120331221
51333321303300
6110214552013
713404405015
oct3135307551
91082650740
10427134825
111aa119797
12bb068609
136a652400
1440a29545
1527773700
hex19758f69

427134825 has 108 divisors (see below), whose sum is σ = 849588480. Its totient is φ = 204946560.

The previous prime is 427134821. The next prime is 427134847. The reversal of 427134825 is 528431724.

It is a happy number.

It is not a de Polignac number, because 427134825 - 22 = 427134821 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 427134825.

It is not an unprimeable number, because it can be changed into a prime (427134821) by changing a digit.

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 107 ways as a sum of consecutive naturals, for example, 1787056 + ... + 1787294.

It is an arithmetic number, because the mean of its divisors is an integer number (7866560).

Almost surely, 2427134825 is an apocalyptic number.

427134825 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

427134825 is a deficient number, since it is larger than the sum of its proper divisors (422453655).

427134825 is a wasteful number, since it uses less digits than its factorization.

427134825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 328 (or 307 counting only the distinct ones).

The product of its digits is 53760, while the sum is 36.

The square root of 427134825 is about 20667.2403818217. The cubic root of 427134825 is about 753.1040686205.

The spelling of 427134825 in words is "four hundred twenty-seven million, one hundred thirty-four thousand, eight hundred twenty-five".

Divisors: 1 3 5 9 13 15 25 39 45 47 65 75 117 141 169 195 225 235 239 325 423 507 585 611 705 717 845 975 1175 1195 1521 1833 2115 2151 2535 2925 3055 3107 3525 3585 4225 5499 5975 7605 7943 9165 9321 10575 10755 11233 12675 15275 15535 17925 23829 27495 27963 33699 38025 39715 40391 45825 46605 53775 56165 71487 77675 101097 119145 121173 137475 139815 146029 168495 198575 201955 233025 280825 357435 363519 438087 505485 595725 605865 699075 730145 842475 1009775 1314261 1787175 1817595 1898377 2190435 2527425 3029325 3650725 5695131 6571305 9087975 9491885 10952175 17085393 28475655 32856525 47459425 85426965 142378275 427134825