Search a number
-
+
30051648 = 2634111731
BaseRepresentation
bin111001010100…
…0110101000000
32002112210010000
41302220311000
530143123043
62552040000
7513302064
oct162506500
962483100
1030051648
1115a66280
12a093000
1362c2653
143dc3aa4
1529892d3
hex1ca8d40

30051648 has 280 divisors, whose sum is σ = 106216704. Its totient is φ = 8294400.

The previous prime is 30051613. The next prime is 30051649. The reversal of 30051648 is 84615003.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30051649) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 969393 + ... + 969423.

Almost surely, 230051648 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 30051648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53108352).

30051648 is an abundant number, since it is smaller than the sum of its proper divisors (76165056).

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

30051648 is a wasteful number, since it uses less digits than its factorization.

30051648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83 (or 64 counting only the distinct ones).

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

The square root of 30051648 is about 5481.9383433235. The cubic root of 30051648 is about 310.9014620809.

The spelling of 30051648 in words is "thirty million, fifty-one thousand, six hundred forty-eight".