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30257496 = 23331271103
BaseRepresentation
bin111001101101…
…1000101011000
32002221020111000
41303123011120
530221214441
63000305000
7515120163
oct163330530
962836430
1030257496
11160969a5
12a172160
136365259
144038ada
1529ca2b6
hex1cdb158

30257496 has 64 divisors (see below), whose sum is σ = 84787200. Its totient is φ = 9997344.

The previous prime is 30257483. The next prime is 30257497. The reversal of 30257496 is 69475203.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 30257496.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30257497) 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 15 ways as a sum of consecutive naturals, for example, 26881 + ... + 27983.

It is an arithmetic number, because the mean of its divisors is an integer number (1324800).

Almost surely, 230257496 is an apocalyptic number.

30257496 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30257496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42393600).

30257496 is an abundant number, since it is smaller than the sum of its proper divisors (54529704).

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

30257496 is a wasteful number, since it uses less digits than its factorization.

30257496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1245 (or 1235 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 30257496 is about 5500.6814123343. The cubic root of 30257496 is about 311.6097191017.

The spelling of 30257496 in words is "thirty million, two hundred fifty-seven thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 127 216 254 381 508 762 1016 1103 1143 1524 2206 2286 3048 3309 3429 4412 4572 6618 6858 8824 9144 9927 13236 13716 19854 26472 27432 29781 39708 59562 79416 119124 140081 238248 280162 420243 560324 840486 1120648 1260729 1680972 2521458 3361944 3782187 5042916 7564374 10085832 15128748 30257496