Search a number
-
+
30257552 = 24131743199
BaseRepresentation
bin111001101101…
…1000110010000
32002221020120002
41303123012100
530221220202
63000305132
7515120303
oct163330620
962836502
1030257552
1116096a46
12a1721a8
1363652a0
144038b3a
1529ca302
hex1cdb190

30257552 has 80 divisors (see below), whose sum is σ = 68745600. Its totient is φ = 12773376.

The previous prime is 30257543. The next prime is 30257593. The reversal of 30257552 is 25575203.

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, 151949 + ... + 152147.

It is an arithmetic number, because the mean of its divisors is an integer number (859320).

Almost surely, 230257552 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 30257552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34372800).

30257552 is an abundant number, since it is smaller than the sum of its proper divisors (38488048).

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

30257552 is a wasteful number, since it uses less digits than its factorization.

30257552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 280 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 10500, while the sum is 29.

The square root of 30257552 is about 5500.6865026104. The cubic root of 30257552 is about 311.6099113420.

The spelling of 30257552 in words is "thirty million, two hundred fifty-seven thousand, five hundred fifty-two".

Divisors: 1 2 4 8 13 16 17 26 34 43 52 68 86 104 136 172 199 208 221 272 344 398 442 559 688 731 796 884 1118 1462 1592 1768 2236 2587 2924 3184 3383 3536 4472 5174 5848 6766 8557 8944 9503 10348 11696 13532 17114 19006 20696 27064 34228 38012 41392 43979 54128 68456 76024 87958 111241 136912 145469 152048 175916 222482 290938 351832 444964 581876 703664 889928 1163752 1779856 1891097 2327504 3782194 7564388 15128776 30257552