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10493648 = 2411109547
BaseRepresentation
bin101000000001…
…111011010000
3201202010120122
4220001323100
510141244043
61012525412
7155123504
oct50017320
921663518
1010493648
115a18040
123620868
132235479
141572304
15dc4368
hexa01ed0

10493648 has 40 divisors (see below), whose sum is σ = 22424160. Its totient is φ = 4717440.

The previous prime is 10493633. The next prime is 10493653. The reversal of 10493648 is 84639401.

It is a super-2 number, since 2×104936482 = 220233296695808, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18911 + ... + 19457.

It is an arithmetic number, because the mean of its divisors is an integer number (560604).

Almost surely, 210493648 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 10493648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11212080).

10493648 is an abundant number, since it is smaller than the sum of its proper divisors (11930512).

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

10493648 is a wasteful number, since it uses less digits than its factorization.

10493648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 675 (or 669 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 35.

The square root of 10493648 is about 3239.3900660464. The cubic root of 10493648 is about 218.9317914117.

Subtracting 10493648 from its reverse (84639401), we obtain a triangular number (74145753 = T12177).

The spelling of 10493648 in words is "ten million, four hundred ninety-three thousand, six hundred forty-eight".

Divisors: 1 2 4 8 11 16 22 44 88 109 176 218 436 547 872 1094 1199 1744 2188 2398 4376 4796 6017 8752 9592 12034 19184 24068 48136 59623 96272 119246 238492 476984 655853 953968 1311706 2623412 5246824 10493648