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30728464 = 2413241613
BaseRepresentation
bin111010100111…
…0000100010000
32010211011112021
41311032010100
530331302324
63014341224
7522121234
oct165160420
963734467
1030728464
1116388828
12a35a814
13649b730
14411c5c4
152a6eae4
hex1d4e110

30728464 has 40 divisors (see below), whose sum is σ = 64487192. Its totient is φ = 14100480.

The previous prime is 30728461. The next prime is 30728497. The reversal of 30728464 is 46482703.

It can be written as a sum of positive squares in 4 ways, for example, as 36864 + 30691600 = 192^2 + 5540^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30728461) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 49822 + ... + 50434.

Almost surely, 230728464 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 30728464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32243596).

30728464 is an abundant number, since it is smaller than the sum of its proper divisors (33758728).

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

30728464 is a wasteful number, since it uses less digits than its factorization.

30728464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 875 (or 869 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 34.

The square root of 30728464 is about 5543.3260773655. The cubic root of 30728464 is about 313.2181720548.

The spelling of 30728464 in words is "thirty million, seven hundred twenty-eight thousand, four hundred sixty-four".

Divisors: 1 2 4 8 13 16 26 52 104 208 241 482 613 964 1226 1928 2452 3133 3856 4904 6266 7969 9808 12532 15938 25064 31876 50128 63752 127504 147733 295466 590932 1181864 1920529 2363728 3841058 7682116 15364232 30728464