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30925728 = 2532167643
BaseRepresentation
bin111010111111…
…0001110100000
32011012012010100
41311332032200
530404110403
63022502400
7523602321
oct165761640
964165110
1030925728
1116502a59
12a434a00
13653a462
144170448
152aad2a3
hex1d7e3a0

30925728 has 72 divisors (see below), whose sum is σ = 88609248. Its totient is φ = 10230912.

The previous prime is 30925723. The next prime is 30925733. The reversal of 30925728 is 82752903.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (30925723) and next prime (30925733).

It is a tau number, because it is divible by the number of its divisors (72).

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 = 30925692 and 30925701.

It is not an unprimeable number, because it can be changed into a prime (30925723) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 47775 + ... + 48417.

It is an arithmetic number, because the mean of its divisors is an integer number (1230684).

Almost surely, 230925728 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 30925728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44304624).

30925728 is an abundant number, since it is smaller than the sum of its proper divisors (57683520).

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

30925728 is a wasteful number, since it uses less digits than its factorization.

30925728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 826 (or 815 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 30925728 is about 5561.0905405325. The cubic root of 30925728 is about 313.8869865247.

The spelling of 30925728 in words is "thirty million, nine hundred twenty-five thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 167 288 334 501 643 668 1002 1286 1336 1503 1929 2004 2572 2672 3006 3858 4008 5144 5344 5787 6012 7716 8016 10288 11574 12024 15432 16032 20576 23148 24048 30864 46296 48096 61728 92592 107381 185184 214762 322143 429524 644286 859048 966429 1288572 1718096 1932858 2577144 3436192 3865716 5154288 7731432 10308576 15462864 30925728