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30257928 = 2333711973
BaseRepresentation
bin111001101101…
…1001100001000
32002221021002000
41303123030020
530221223203
63000311000
7515121351
oct163331410
962837060
1030257928
1116097258
12a172460
1363654cc
144038d28
1529ca4a3
hex1cdb308

30257928 has 64 divisors (see below), whose sum is σ = 85276800. Its totient is φ = 9938880.

The previous prime is 30257917. The next prime is 30257947. The reversal of 30257928 is 82975203.

It is a happy number.

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 = 30257892 and 30257901.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14350 + ... + 16322.

It is an arithmetic number, because the mean of its divisors is an integer number (1332450).

Almost surely, 230257928 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 30257928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42638400).

30257928 is an abundant number, since it is smaller than the sum of its proper divisors (55018872).

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

30257928 is a wasteful number, since it uses less digits than its factorization.

30257928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2059 (or 2049 counting only the distinct ones).

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

The square root of 30257928 is about 5500.7206800564. The cubic root of 30257928 is about 311.6112020924.

The spelling of 30257928 in words is "thirty million, two hundred fifty-seven thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 71 72 108 142 213 216 284 426 568 639 852 1278 1704 1917 1973 2556 3834 3946 5112 5919 7668 7892 11838 15336 15784 17757 23676 35514 47352 53271 71028 106542 140083 142056 213084 280166 420249 426168 560332 840498 1120664 1260747 1680996 2521494 3361992 3782241 5042988 7564482 10085976 15128964 30257928