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30758728 = 237111323167
BaseRepresentation
bin111010101010…
…1011101001000
32010212201001011
41311111131020
530333234403
63015133304
7522305410
oct165253510
963781034
1030758728
11163a9540
12a374234
1364ac440
144129640
152a78a6d
hex1d55748

30758728 has 128 divisors (see below), whose sum is σ = 81285120. Its totient is φ = 10517760.

The previous prime is 30758723. The next prime is 30758743. The reversal of 30758728 is 82785703.

It is a super-3 number, since 3×307587283 (a number of 23 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (30758723) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 184101 + ... + 184267.

It is an arithmetic number, because the mean of its divisors is an integer number (635040).

Almost surely, 230758728 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 30758728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40642560).

30758728 is an abundant number, since it is smaller than the sum of its proper divisors (50526392).

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

30758728 is a wasteful number, since it uses less digits than its factorization.

30758728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 94080, while the sum is 40.

The square root of 30758728 is about 5546.0551746264. The cubic root of 30758728 is about 313.3209662641.

It can be divided in two parts, 30758 and 728, that multiplied together give a square (22391824 = 47322).

The spelling of 30758728 in words is "thirty million, seven hundred fifty-eight thousand, seven hundred twenty-eight".

Divisors: 1 2 4 7 8 11 13 14 22 23 26 28 44 46 52 56 77 88 91 92 104 143 154 161 167 182 184 253 286 299 308 322 334 364 506 572 598 616 644 668 728 1001 1012 1144 1169 1196 1288 1336 1771 1837 2002 2024 2093 2171 2338 2392 3289 3542 3674 3841 4004 4186 4342 4676 6578 7084 7348 7682 8008 8372 8684 9352 12859 13156 14168 14696 15197 15364 16744 17368 23023 23881 25718 26312 26887 30394 30728 42251 46046 47762 49933 51436 53774 60788 84502 92092 95524 99866 102872 107548 121576 167167 169004 184184 191048 199732 215096 295757 334334 338008 349531 399464 549263 591514 668668 699062 1098526 1183028 1337336 1398124 2197052 2366056 2796248 3844841 4394104 7689682 15379364 30758728