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9057408 = 273103229
BaseRepresentation
bin100010100011…
…010010000000
3122001011102120
4202203102000
54304314113
6522044240
7136662303
oct42432200
918034376
109057408
115126a68
123049680
131b51819
1412bab3a
15bdda23
hex8a3480

9057408 has 64 divisors (see below), whose sum is σ = 24398400. Its totient is φ = 2976768.

The previous prime is 9057407. The next prime is 9057427. The reversal of 9057408 is 8047509.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (9057401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 39438 + ... + 39666.

It is an arithmetic number, because the mean of its divisors is an integer number (381225).

Almost surely, 29057408 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 9057408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12199200).

9057408 is an abundant number, since it is smaller than the sum of its proper divisors (15340992).

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

9057408 is a wasteful number, since it uses less digits than its factorization.

9057408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 349 (or 337 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 33.

The square root of 9057408 is about 3009.5527906983. The cubic root of 9057408 is about 208.4497172997.

The spelling of 9057408 in words is "nine million, fifty-seven thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 103 128 192 206 229 309 384 412 458 618 687 824 916 1236 1374 1648 1832 2472 2748 3296 3664 4944 5496 6592 7328 9888 10992 13184 14656 19776 21984 23587 29312 39552 43968 47174 70761 87936 94348 141522 188696 283044 377392 566088 754784 1132176 1509568 2264352 3019136 4528704 9057408