Search a number
-
+
30083256 = 2332728527
BaseRepresentation
bin111001011000…
…0100010111000
32002121101110200
41302300202320
530200131011
62552442200
7513463200
oct162604270
962541420
1030083256
1115a87aa5
12a0a9360
136303b58
143dd1400
152993856
hex1cb08b8

30083256 has 72 divisors (see below), whose sum is σ = 94788720. Its totient is φ = 8594208.

The previous prime is 30083239. The next prime is 30083269. The reversal of 30083256 is 65238003.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 736 + ... + 7791.

It is an arithmetic number, because the mean of its divisors is an integer number (1316510).

Almost surely, 230083256 is an apocalyptic number.

30083256 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30083256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47394360).

30083256 is an abundant number, since it is smaller than the sum of its proper divisors (64705464).

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

30083256 is a wasteful number, since it uses less digits than its factorization.

30083256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8553 (or 8539 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 30083256 is about 5484.8205075463. The cubic root of 30083256 is about 311.0104248254.

The spelling of 30083256 in words is "thirty million, eighty-three thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 49 56 63 72 84 98 126 147 168 196 252 294 392 441 504 588 882 1176 1764 3528 8527 17054 25581 34108 51162 59689 68216 76743 102324 119378 153486 179067 204648 238756 306972 358134 417823 477512 537201 613944 716268 835646 1074402 1253469 1432536 1671292 2148804 2506938 3342584 3760407 4297608 5013876 7520814 10027752 15041628 30083256