Search a number
-
+
114582825 = 32527219547
BaseRepresentation
bin1101101010001…
…10010100101001
321222121102002100
412311012110221
5213313122300
615211524013
72560636500
oct665062451
9258542070
10114582825
1159751855
1232459609
131a97b2b6
1411309837
15a0d5700
hex6d46529

114582825 has 108 divisors (see below), whose sum is σ = 251762160. Its totient is φ = 49533120.

The previous prime is 114582817. The next prime is 114582841. The reversal of 114582825 is 528285411.

It is not a de Polignac number, because 114582825 - 23 = 114582817 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 114582825.

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 107 ways as a sum of consecutive naturals, for example, 209202 + ... + 209748.

Almost surely, 2114582825 is an apocalyptic number.

114582825 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

114582825 is an abundant number, since it is smaller than the sum of its proper divisors (137179335).

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

114582825 is a wasteful number, since it uses less digits than its factorization.

114582825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 596 (or 581 counting only the distinct ones).

The product of its digits is 25600, while the sum is 36.

The square root of 114582825 is about 10704.3367379768. The cubic root of 114582825 is about 485.7056720132.

The spelling of 114582825 in words is "one hundred fourteen million, five hundred eighty-two thousand, eight hundred twenty-five".

Divisors: 1 3 5 7 9 15 19 21 25 35 45 49 57 63 75 95 105 133 147 171 175 225 245 285 315 399 441 475 525 547 665 735 855 931 1197 1225 1425 1575 1641 1995 2205 2735 2793 3325 3675 3829 4275 4655 4923 5985 8205 8379 9975 10393 11025 11487 13675 13965 19145 23275 24615 26803 29925 31179 34461 41025 41895 51965 57435 69825 72751 80409 93537 95725 123075 134015 155895 172305 209475 218253 241227 259825 287175 363755 402045 467685 509257 654759 670075 779475 861525 1091265 1206135 1527771 1818775 2010225 2338425 2546285 3273795 4583313 5456325 6030675 7638855 12731425 16368975 22916565 38194275 114582825