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30245628 = 2237472163
BaseRepresentation
bin111001101100…
…0001011111100
32002220122012110
41303120023330
530220330003
63000134020
7515040450
oct163301374
962818173
1030245628
1116088a96
12a167310
13635ca2a
144034660
1529c6a03
hex1cd82fc

30245628 has 72 divisors (see below), whose sum is σ = 82913152. Its totient is φ = 8405856.

The previous prime is 30245623. The next prime is 30245629. The reversal of 30245628 is 82654203.

It is a super-2 number, since 2×302456282 = 1829596026228768, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 30245595 and 30245604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30245623) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 185475 + ... + 185637.

Almost surely, 230245628 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 30245628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41456576).

30245628 is an abundant number, since it is smaller than the sum of its proper divisors (52667524).

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

30245628 is a wasteful number, since it uses less digits than its factorization.

30245628 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 271 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 30245628 is about 5499.6025310926. The cubic root of 30245628 is about 311.5689725291.

It can be divided in two parts, 3024562 and 8, that added together give a triangular number (3024570 = T2459).

The spelling of 30245628 in words is "thirty million, two hundred forty-five thousand, six hundred twenty-eight".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 47 84 94 141 163 188 282 326 329 489 564 652 658 978 987 1141 1316 1956 1974 2209 2282 3423 3948 4418 4564 6627 6846 7661 8836 13254 13692 15322 15463 22983 26508 30644 30926 45966 46389 53627 61852 91932 92778 107254 160881 185556 214508 321762 360067 643524 720134 1080201 1440268 2160402 2520469 4320804 5040938 7561407 10081876 15122814 30245628