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30257253 = 3313219349
BaseRepresentation
bin111001101101…
…1000001100101
32002221020011000
41303123001211
530221213003
63000303513
7515116365
oct163330145
962836130
1030257253
11160967a4
12a171b99
136365100
1440389a5
1529ca1a3
hex1cdb065

30257253 has 48 divisors (see below), whose sum is σ = 51240000. Its totient is φ = 17589312.

The previous prime is 30257243. The next prime is 30257257. The reversal of 30257253 is 35275203.

It is not a de Polignac number, because 30257253 - 28 = 30256997 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30257257) 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 47 ways as a sum of consecutive naturals, for example, 86523 + ... + 86871.

It is an arithmetic number, because the mean of its divisors is an integer number (1067500).

Almost surely, 230257253 is an apocalyptic number.

It is an amenable number.

30257253 is a deficient number, since it is larger than the sum of its proper divisors (20982747).

30257253 is a wasteful number, since it uses less digits than its factorization.

30257253 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 403 (or 384 counting only the distinct ones).

The product of its (nonzero) digits is 6300, while the sum is 27.

The square root of 30257253 is about 5500.6593241174. The cubic root of 30257253 is about 311.6088849132.

The spelling of 30257253 in words is "thirty million, two hundred fifty-seven thousand, two hundred fifty-three".

Divisors: 1 3 9 13 19 27 39 57 117 169 171 247 349 351 507 513 741 1047 1521 2223 3141 3211 4537 4563 6631 6669 9423 9633 13611 19893 28899 40833 58981 59679 86203 86697 122499 176943 179037 258609 530829 775827 1120639 1592487 2327481 3361917 10085751 30257253