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30156048 = 24321389181
BaseRepresentation
bin111001100001…
…0010100010000
32002202002022200
41303002110100
530204443143
62554203200
7514215336
oct163022420
962662280
1030156048
111602775a
12a123500
13632b020
14400db56
1529aa1d3
hex1cc2510

30156048 has 120 divisors (see below), whose sum is σ = 92415960. Its totient is φ = 9123840.

The previous prime is 30156041. The next prime is 30156053. The reversal of 30156048 is 84065103.

It can be written as a sum of positive squares in 4 ways, for example, as 2782224 + 27373824 = 1668^2 + 5232^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30156041) 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, 166518 + ... + 166698.

It is an arithmetic number, because the mean of its divisors is an integer number (770133).

Almost surely, 230156048 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 30156048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46207980).

30156048 is an abundant number, since it is smaller than the sum of its proper divisors (62259912).

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

30156048 is a wasteful number, since it uses less digits than its factorization.

30156048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 297 (or 288 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 30156048 is about 5491.4522669327. The cubic root of 30156048 is about 311.2610718469.

The spelling of 30156048 in words is "thirty million, one hundred fifty-six thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 78 89 104 117 144 156 178 181 208 234 267 312 356 362 468 534 543 624 712 724 801 936 1068 1086 1157 1424 1448 1602 1629 1872 2136 2172 2314 2353 2896 3204 3258 3471 4272 4344 4628 4706 6408 6516 6942 7059 8688 9256 9412 10413 12816 13032 13884 14118 16109 18512 18824 20826 21177 26064 27768 28236 32218 37648 41652 42354 48327 55536 56472 64436 83304 84708 96654 112944 128872 144981 166608 169416 193308 209417 257744 289962 338832 386616 418834 579924 628251 773232 837668 1159848 1256502 1675336 1884753 2319696 2513004 3350672 3769506 5026008 7539012 10052016 15078024 30156048