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30774528 = 283219237
BaseRepresentation
bin111010101100…
…1010100000000
32010220111201100
41311121110000
530334241103
63015334400
7522402441
oct165312400
963814640
1030774528
111640a3a4
12a381400
1364b66a5
1441312c8
152a7d5a3
hex1d59500

30774528 has 162 divisors, whose sum is σ = 96177354. Its totient is φ = 9455616.

The previous prime is 30774517. The next prime is 30774551. The reversal of 30774528 is 82547703.

It can be written as a sum of positive squares in only one way, i.e., 29942784 + 831744 = 5472^2 + 912^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 30774492 and 30774501.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 831726 + ... + 831762.

Almost surely, 230774528 is an apocalyptic number.

30774528 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30774528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48088677).

30774528 is an abundant number, since it is smaller than the sum of its proper divisors (65402826).

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

30774528 is a wasteful number, since it uses less digits than its factorization.

30774528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The square root of 30774528 is about 5547.4794276320. The cubic root of 30774528 is about 313.3746054985.

The spelling of 30774528 in words is "thirty million, seven hundred seventy-four thousand, five hundred twenty-eight".