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3009825 = 33527313
BaseRepresentation
bin1011011110110100100001
312122220201000
423132310201
51232303300
6144302213
734404000
oct13366441
95586630
103009825
111776365
121011969
13814c80
14584c37
153e6c00
hex2ded21

3009825 has 96 divisors (see below), whose sum is σ = 6944000. Its totient is φ = 1270080.

The previous prime is 3009781. The next prime is 3009827. The reversal of 3009825 is 5289003.

It is not a de Polignac number, because 3009825 - 210 = 3008801 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (3009827) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 231519 + ... + 231531.

Almost surely, 23009825 is an apocalyptic number.

3009825 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

3009825 is an abundant number, since it is smaller than the sum of its proper divisors (3934175).

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

3009825 is a wasteful number, since it uses less digits than its factorization.

3009825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 3009825 is about 1734.8847223951. The cubic root of 3009825 is about 144.3822310428.

The spelling of 3009825 in words is "three million, nine thousand, eight hundred twenty-five".

Divisors: 1 3 5 7 9 13 15 21 25 27 35 39 45 49 63 65 75 91 105 117 135 147 175 189 195 225 245 273 315 325 343 351 441 455 525 585 637 675 735 819 945 975 1029 1225 1323 1365 1575 1715 1755 1911 2205 2275 2457 2925 3087 3185 3675 4095 4459 4725 5145 5733 6615 6825 8575 8775 9261 9555 11025 12285 13377 15435 15925 17199 20475 22295 25725 28665 33075 40131 46305 47775 61425 66885 77175 85995 111475 120393 143325 200655 231525 334425 429975 601965 1003275 3009825