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10855488 = 263741197
BaseRepresentation
bin101001011010…
…010001000000
3202102111221010
4221122101000
510234333423
61024400520
7161161440
oct51322100
922374833
1010855488
116144986
123776140
132331087
141628120
15e46693
hexa5a440

10855488 has 112 divisors (see below), whose sum is σ = 33796224. Its totient is φ = 3010560.

The previous prime is 10855477. The next prime is 10855489. The reversal of 10855488 is 88455801.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10855489) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 55006 + ... + 55202.

It is an arithmetic number, because the mean of its divisors is an integer number (301752).

Almost surely, 210855488 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 10855488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16898112).

10855488 is an abundant number, since it is smaller than the sum of its proper divisors (22940736).

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

10855488 is a wasteful number, since it uses less digits than its factorization.

10855488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 51200, while the sum is 39.

The square root of 10855488 is about 3294.7667595749. The cubic root of 10855488 is about 221.4197981559.

It can be divided in two parts, 108 and 55488, that multiplied together give a square (5992704 = 24482).

The spelling of 10855488 in words is "ten million, eight hundred fifty-five thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 41 42 48 56 64 82 84 96 112 123 164 168 192 197 224 246 287 328 336 394 448 492 574 591 656 672 788 861 984 1148 1182 1312 1344 1379 1576 1722 1968 2296 2364 2624 2758 3152 3444 3936 4137 4592 4728 5516 6304 6888 7872 8077 8274 9184 9456 11032 12608 13776 16154 16548 18368 18912 22064 24231 27552 32308 33096 37824 44128 48462 55104 56539 64616 66192 88256 96924 113078 129232 132384 169617 193848 226156 258464 264768 339234 387696 452312 516928 678468 775392 904624 1356936 1550784 1809248 2713872 3618496 5427744 10855488