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10419248 = 247412269
BaseRepresentation
bin100111101111…
…110000110000
3201121100112002
4213233300300
510131403443
61011153132
7154363550
oct47576060
921540462
1010419248
115977154
1235a57a8
13220a648
141553160
15dac2b8
hex9efc30

10419248 has 40 divisors (see below), whose sum is σ = 23644320. Its totient is φ = 4354560.

The previous prime is 10419221. The next prime is 10419259. The reversal of 10419248 is 84291401.

It is a self number, because there is not a number n which added to its sum of digits gives 10419248.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 3458 + ... + 5726.

It is an arithmetic number, because the mean of its divisors is an integer number (591108).

Almost surely, 210419248 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 10419248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11822160).

10419248 is an abundant number, since it is smaller than the sum of its proper divisors (13225072).

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

10419248 is a wasteful number, since it uses less digits than its factorization.

10419248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2325 (or 2319 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 29.

The square root of 10419248 is about 3227.8859955085. The cubic root of 10419248 is about 218.4131547131.

The spelling of 10419248 in words is "ten million, four hundred nineteen thousand, two hundred forty-eight".

Divisors: 1 2 4 7 8 14 16 28 41 56 82 112 164 287 328 574 656 1148 2269 2296 4538 4592 9076 15883 18152 31766 36304 63532 93029 127064 186058 254128 372116 651203 744232 1302406 1488464 2604812 5209624 10419248