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30427488 = 253571343
BaseRepresentation
bin111010000010…
…0100101100000
32010020212200000
41310010211200
530242134423
63004100000
7516425610
oct164044540
963225600
1030427488
11161a2693
12a234600
1363c4740
144080a40
152a10843
hex1d04960

30427488 has 288 divisors, whose sum is σ = 113008896. Its totient is φ = 7838208.

The previous prime is 30427487. The next prime is 30427519. The reversal of 30427488 is 88472403.

30427488 is a `hidden beast` number, since 304 + 274 + 88 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30427487) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 707595 + ... + 707637.

It is an arithmetic number, because the mean of its divisors is an integer number (392392).

Almost surely, 230427488 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 30427488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56504448).

30427488 is an abundant number, since it is smaller than the sum of its proper divisors (82581408).

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

30427488 is a wasteful number, since it uses less digits than its factorization.

30427488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 30427488 is about 5516.1116739965. Note that the first 3 decimals coincide. The cubic root of 30427488 is about 312.1921892811.

The spelling of 30427488 in words is "thirty million, four hundred twenty-seven thousand, four hundred eighty-eight".