Search a number
-
+
30248900 = 225211107257
BaseRepresentation
bin111001101100…
…0111111000100
32002220210200122
41303120333010
530220431100
63000201112
7515053133
oct163307704
962823618
1030248900
11160904a0
12a169198
136361376
14403591a
1529c7985
hex1cd8fc4

30248900 has 72 divisors (see below), whose sum is σ = 72557856. Its totient is φ = 10854400.

The previous prime is 30248891. The next prime is 30248927. The reversal of 30248900 is 984203.

It is a self number, because there is not a number n which added to its sum of digits gives 30248900.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 117572 + ... + 117828.

It is an arithmetic number, because the mean of its divisors is an integer number (1007748).

Almost surely, 230248900 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 30248900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36278928).

30248900 is an abundant number, since it is smaller than the sum of its proper divisors (42308956).

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

30248900 is a wasteful number, since it uses less digits than its factorization.

30248900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 389 (or 382 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 26.

The square root of 30248900 is about 5499.8999990909. The cubic root of 30248900 is about 311.5802073971.

The spelling of 30248900 in words is "thirty million, two hundred forty-eight thousand, nine hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 107 110 214 220 257 275 428 514 535 550 1028 1070 1100 1177 1285 2140 2354 2570 2675 2827 4708 5140 5350 5654 5885 6425 10700 11308 11770 12850 14135 23540 25700 27499 28270 29425 54998 56540 58850 70675 109996 117700 137495 141350 274990 282700 302489 549980 604978 687475 1209956 1374950 1512445 2749900 3024890 6049780 7562225 15124450 30248900