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10293248 = 2127359
BaseRepresentation
bin100111010001…
…000000000000
3201100221200102
4213101000000
510113340443
61004341532
7153330320
oct47210000
921327612
1010293248
1158a0519
1235448a8
1321951a4
14151d280
15d84cb8
hex9d1000

10293248 has 52 divisors (see below), whose sum is σ = 23590080. Its totient is φ = 4399104.

The previous prime is 10293247. The next prime is 10293251. The reversal of 10293248 is 84239201.

It is a self number, because there is not a number n which added to its sum of digits gives 10293248.

It is not an unprimeable number, because it can be changed into a prime (10293247) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 28493 + ... + 28851.

Almost surely, 210293248 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 10293248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11795040).

10293248 is an abundant number, since it is smaller than the sum of its proper divisors (13296832).

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

10293248 is an frugal number, since it uses more digits than its factorization.

10293248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 390 (or 368 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 29.

The square root of 10293248 is about 3208.3092120305. The cubic root of 10293248 is about 217.5291580233.

The spelling of 10293248 in words is "ten million, two hundred ninety-three thousand, two hundred forty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 256 359 448 512 718 896 1024 1436 1792 2048 2513 2872 3584 4096 5026 5744 7168 10052 11488 14336 20104 22976 28672 40208 45952 80416 91904 160832 183808 321664 367616 643328 735232 1286656 1470464 2573312 5146624 10293248