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30255444 = 2235171831
BaseRepresentation
bin111001101101…
…0100101010100
32002221010200000
41303122211110
530221133234
63000251300
7515111202
oct163324524
962833600
1030255444
11160953aa
12a170b30
13636433b
144038072
1529c9899
hex1cda954

30255444 has 72 divisors (see below), whose sum is σ = 84022848. Its totient is φ = 9486720.

The previous prime is 30255413. The next prime is 30255479. The reversal of 30255444 is 44455203.

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

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 15609 + ... + 17439.

It is an arithmetic number, because the mean of its divisors is an integer number (1166984).

Almost surely, 230255444 is an apocalyptic number.

30255444 is a gapful number since it is divisible by the number (34) 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 30255444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42011424).

30255444 is an abundant number, since it is smaller than the sum of its proper divisors (53767404).

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

30255444 is a wasteful number, since it uses less digits than its factorization.

30255444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1867 (or 1853 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 27.

The square root of 30255444 is about 5500.4948868261. The cubic root of 30255444 is about 311.6026747029.

The spelling of 30255444 in words is "thirty million, two hundred fifty-five thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 17 18 27 34 36 51 54 68 81 102 108 153 162 204 243 306 324 459 486 612 918 972 1377 1831 1836 2754 3662 4131 5493 5508 7324 8262 10986 16479 16524 21972 31127 32958 49437 62254 65916 93381 98874 124508 148311 186762 197748 280143 296622 373524 444933 560286 593244 840429 889866 1120572 1680858 1779732 2521287 3361716 5042574 7563861 10085148 15127722 30255444