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30253824 = 28341459
BaseRepresentation
bin111001101101…
…0001100000000
32002221001110000
41303122030000
530221110244
63000240000
7515103366
oct163321400
962831400
1030253824
1116094167
12a170000
136363693
144037636
1529c9169
hex1cda300

30253824 has 90 divisors (see below), whose sum is σ = 90273260. Its totient is φ = 10077696.

The previous prime is 30253823. The next prime is 30253837. The reversal of 30253824 is 42835203.

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 (30253823) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 20007 + ... + 21465.

Almost surely, 230253824 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 30253824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45136630).

30253824 is an abundant number, since it is smaller than the sum of its proper divisors (60019436).

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

30253824 is an equidigital number, since it uses as much as digits as its factorization.

30253824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1487 (or 1464 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 30253824 is about 5500.3476253779. The cubic root of 30253824 is about 311.5971131105.

The spelling of 30253824 in words is "thirty million, two hundred fifty-three thousand, eight hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 256 288 324 384 432 576 648 768 864 1152 1296 1459 1728 2304 2592 2918 3456 4377 5184 5836 6912 8754 10368 11672 13131 17508 20736 23344 26262 35016 39393 46688 52524 70032 78786 93376 105048 118179 140064 157572 186752 210096 236358 280128 315144 373504 420192 472716 560256 630288 840384 945432 1120512 1260576 1680768 1890864 2521152 3361536 3781728 5042304 7563456 10084608 15126912 30253824