Search a number
-
+
30825405 = 32513232979
BaseRepresentation
bin111010110010…
…1101110111101
32011000002111200
41311211232331
530342403110
63020410113
7523003662
oct165455675
964002450
1030825405
1116444646
12a3a6939
1365038b0
144145a69
152a8d6c0
hex1d65bbd

30825405 has 96 divisors (see below), whose sum is σ = 62899200. Its totient is φ = 13837824.

The previous prime is 30825401. The next prime is 30825407. The reversal of 30825405 is 50452803.

30825405 = 4212 + 4222 + ... + 5502.

It is not a de Polignac number, because 30825405 - 22 = 30825401 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30825401) 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 95 ways as a sum of consecutive naturals, for example, 390156 + ... + 390234.

It is an arithmetic number, because the mean of its divisors is an integer number (655200).

Almost surely, 230825405 is an apocalyptic number.

It is an amenable number.

30825405 is an abundant number, since it is smaller than the sum of its proper divisors (32073795).

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

30825405 is a wasteful number, since it uses less digits than its factorization.

30825405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 30825405 is about 5552.0631300445. The cubic root of 30825405 is about 313.5472025870.

The spelling of 30825405 in words is "thirty million, eight hundred twenty-five thousand, four hundred five".

Divisors: 1 3 5 9 13 15 23 29 39 45 65 69 79 87 115 117 145 195 207 237 261 299 345 377 395 435 585 667 711 897 1027 1035 1131 1185 1305 1495 1817 1885 2001 2291 2691 3081 3335 3393 3555 4485 5135 5451 5655 6003 6873 8671 9085 9243 10005 11455 13455 15405 16353 16965 20619 23621 26013 27255 29783 30015 34365 43355 46215 52693 70863 78039 81765 89349 103095 118105 130065 148915 158079 212589 263465 268047 354315 390195 446745 474237 685009 790395 1062945 1340235 2055027 2371185 3425045 6165081 10275135 30825405