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9053248 = 261753157
BaseRepresentation
bin100010100010…
…010001000000
3122000221201111
4202202101000
54304200443
6522013104
7136644211
oct42422100
918027644
109053248
115123926
123047194
131b4c969
1412b9408
15bdc69d
hex8a2440

9053248 has 56 divisors (see below), whose sum is σ = 19504152. Its totient is φ = 4153344.

The previous prime is 9053243. The next prime is 9053257. The reversal of 9053248 is 8423509.

It can be written as a sum of positive squares in 4 ways, for example, as 2458624 + 6594624 = 1568^2 + 2568^2 .

It is a super-2 number, since 2×90532482 = 163922598699008, which contains 22 as substring.

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (9053243) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 57586 + ... + 57742.

Almost surely, 29053248 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 9053248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9752076).

9053248 is an abundant number, since it is smaller than the sum of its proper divisors (10450904).

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

9053248 is a wasteful number, since it uses less digits than its factorization.

9053248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 239 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 31.

The square root of 9053248 is about 3008.8615787370. The cubic root of 9053248 is about 208.4177992787.

The spelling of 9053248 in words is "nine million, fifty-three thousand, two hundred forty-eight".

Divisors: 1 2 4 8 16 17 32 34 53 64 68 106 136 157 212 272 314 424 544 628 848 901 1088 1256 1696 1802 2512 2669 3392 3604 5024 5338 7208 8321 10048 10676 14416 16642 21352 28832 33284 42704 57664 66568 85408 133136 141457 170816 266272 282914 532544 565828 1131656 2263312 4526624 9053248