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10293888 = 273112437
BaseRepresentation
bin100111010001…
…001010000000
3201100222120010
4213101022000
510113401023
61004344520
7153332223
oct47211200
921328503
1010293888
1158a0a50
123545140
132195577
14151d5ba
15d85093
hex9d1280

10293888 has 64 divisors (see below), whose sum is σ = 29841120. Its totient is φ = 3118080.

The previous prime is 10293883. The next prime is 10293889. The reversal of 10293888 is 88839201.

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 (10293883) 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, 3006 + ... + 5442.

Almost surely, 210293888 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 10293888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14920560).

10293888 is an abundant number, since it is smaller than the sum of its proper divisors (19547232).

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

10293888 is a wasteful number, since it uses less digits than its factorization.

10293888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2465 (or 2453 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 39.

The square root of 10293888 is about 3208.4089514898. The cubic root of 10293888 is about 217.5336663436.

The spelling of 10293888 in words is "ten million, two hundred ninety-three thousand, eight hundred eighty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 264 352 384 528 704 1056 1408 2112 2437 4224 4874 7311 9748 14622 19496 26807 29244 38992 53614 58488 77984 80421 107228 116976 155968 160842 214456 233952 311936 321684 428912 467904 643368 857824 935808 1286736 1715648 2573472 3431296 5146944 10293888