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30541056 = 2837131923
BaseRepresentation
bin111010010000…
…0010100000000
32010110122110020
41310200110000
530304303211
63010333440
7520410660
oct164402400
963418406
1030541056
111626aa47
12a28a280
136434340
1440b01a0
152a34306
hex1d20500

30541056 has 288 divisors, whose sum is σ = 109885440. Its totient is φ = 7299072.

The previous prime is 30541013. The next prime is 30541067. The reversal of 30541056 is 65014503.

It is a super-2 number, since 2×305410562 = 1865512203190272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 1327861 + ... + 1327883.

Almost surely, 230541056 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 30541056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54942720).

30541056 is an abundant number, since it is smaller than the sum of its proper divisors (79344384).

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

30541056 is a wasteful number, since it uses less digits than its factorization.

30541056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 24.

The square root of 30541056 is about 5526.3962941505. The cubic root of 30541056 is about 312.5801172715.

Adding to 30541056 its reverse (65014503), we get a palindrome (95555559).

The spelling of 30541056 in words is "thirty million, five hundred forty-one thousand, fifty-six".