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10328448 = 273132069
BaseRepresentation
bin100111011001…
…100110000000
3201102201222010
4213121212000
510121002243
61005212520
7153535044
oct47314600
921381863
1010328448
115914a09
123561140
1321a8210
14152c024
15d90433
hex9d9980

10328448 has 64 divisors (see below), whose sum is σ = 29559600. Its totient is φ = 3176448.

The previous prime is 10328447. The next prime is 10328453. The reversal of 10328448 is 84482301.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10328447) 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, 3958 + ... + 6026.

Almost surely, 210328448 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 10328448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14779800).

10328448 is an abundant number, since it is smaller than the sum of its proper divisors (19231152).

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

10328448 is a wasteful number, since it uses less digits than its factorization.

10328448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2099 (or 2087 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The square root of 10328448 is about 3213.7902856285. The cubic root of 10328448 is about 217.7768386589.

The spelling of 10328448 in words is "ten million, three hundred twenty-eight thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 192 208 312 384 416 624 832 1248 1664 2069 2496 4138 4992 6207 8276 12414 16552 24828 26897 33104 49656 53794 66208 80691 99312 107588 132416 161382 198624 215176 264832 322764 397248 430352 645528 794496 860704 1291056 1721408 2582112 3442816 5164224 10328448