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30056448 = 21331223
BaseRepresentation
bin111001010101…
…0000000000000
32002120000200210
41302222000000
530143301243
62552114120
7513322062
oct162520000
962500623
1030056448
1115a69944
12a095940
1362c48a6
143dc5732
15298a933
hex1caa000

30056448 has 56 divisors (see below), whose sum is σ = 80211168. Its totient is φ = 10010624.

The previous prime is 30056447. The next prime is 30056483. The reversal of 30056448 is 84465003.

It is not an unprimeable number, because it can be changed into a prime (30056443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 23965 + ... + 25187.

Almost surely, 230056448 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 30056448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40105584).

30056448 is an abundant number, since it is smaller than the sum of its proper divisors (50154720).

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

30056448 is an equidigital number, since it uses as much as digits as its factorization.

30056448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1252 (or 1228 counting only the distinct ones).

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

The square root of 30056448 is about 5482.3761271916. The cubic root of 30056448 is about 310.9180141135.

It can be divided in two parts, 3005 and 6448, that added together give a triangular number (9453 = T137).

The spelling of 30056448 in words is "thirty million, fifty-six thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 768 1024 1223 1536 2048 2446 3072 3669 4096 4892 6144 7338 8192 9784 12288 14676 19568 24576 29352 39136 58704 78272 117408 156544 234816 313088 469632 626176 939264 1252352 1878528 2504704 3757056 5009408 7514112 10018816 15028224 30056448