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30027528 = 23322973197
BaseRepresentation
bin111001010001…
…0111100001000
32002111120000200
41302202330020
530141340103
62551332200
7513141546
oct162427410
962446020
1030027528
1115a4a143
12a081060
1362b468b
143db8d96
1529820a3
hex1ca2f08

30027528 has 96 divisors (see below), whose sum is σ = 85714200. Its totient is φ = 9483264.

The previous prime is 30027527. The next prime is 30027541. The reversal of 30027528 is 82572003.

It can be written as a sum of positive squares in 4 ways, for example, as 30008484 + 19044 = 5478^2 + 138^2 .

It is a super-4 number, since 4×300275284 (a number of 31 digits) contains 4444 as substring.

It is not an unprimeable number, because it can be changed into a prime (30027527) 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 23 ways as a sum of consecutive naturals, for example, 152326 + ... + 152522.

Almost surely, 230027528 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 30027528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42857100).

30027528 is an abundant number, since it is smaller than the sum of its proper divisors (55686672).

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

30027528 is a wasteful number, since it uses less digits than its factorization.

30027528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 311 (or 304 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 30027528 is about 5479.7379499388. The cubic root of 30027528 is about 310.8182614256.

The spelling of 30027528 in words is "thirty million, twenty-seven thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 29 36 58 72 73 87 116 146 174 197 219 232 261 292 348 394 438 522 584 591 657 696 788 876 1044 1182 1314 1576 1752 1773 2088 2117 2364 2628 3546 4234 4728 5256 5713 6351 7092 8468 11426 12702 14184 14381 16936 17139 19053 22852 25404 28762 34278 38106 43143 45704 50808 51417 57524 68556 76212 86286 102834 115048 129429 137112 152424 172572 205668 258858 345144 411336 417049 517716 834098 1035432 1251147 1668196 2502294 3336392 3753441 5004588 7506882 10009176 15013764 30027528