Search a number
-
+
30261856 = 253761419
BaseRepresentation
bin111001101110…
…0001001100000
32002221110110111
41303130021200
530221334411
63000341104
7515135662
oct163341140
962843414
1030261856
111609a1a9
12a174794
136367231
14403a532
1529cb721
hex1cdc260

30261856 has 48 divisors (see below), whose sum is σ = 62339760. Its totient is φ = 14446080.

The previous prime is 30261841. The next prime is 30261857. The reversal of 30261856 is 65816203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30261857) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 72015 + ... + 72433.

It is an arithmetic number, because the mean of its divisors is an integer number (1298745).

Almost surely, 230261856 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30261856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31169880).

30261856 is an abundant number, since it is smaller than the sum of its proper divisors (32077904).

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

30261856 is a wasteful number, since it uses less digits than its factorization.

30261856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 527 (or 519 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 31.

The square root of 30261856 is about 5501.0777125941. The cubic root of 30261856 is about 311.6246856753.

The spelling of 30261856 in words is "thirty million, two hundred sixty-one thousand, eight hundred fifty-six".

Divisors: 1 2 4 8 16 32 37 61 74 122 148 244 296 419 488 592 838 976 1184 1676 1952 2257 3352 4514 6704 9028 13408 15503 18056 25559 31006 36112 51118 62012 72224 102236 124024 204472 248048 408944 496096 817888 945683 1891366 3782732 7565464 15130928 30261856