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20848608 = 2532116581
BaseRepresentation
bin100111110000…
…1111111100000
31110020012220200
41033201333200
520314123413
62022505200
7342132054
oct117417740
943205820
1020848608
111084a960
126b95200
13441c771
142aa9c64
151c6c573
hex13e1fe0

20848608 has 72 divisors (see below), whose sum is σ = 64687896. Its totient is φ = 6316800.

The previous prime is 20848577. The next prime is 20848621. The reversal of 20848608 is 80684802.

20848608 is a `hidden beast` number, since 2 + 0 + 8 + 48 + 608 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 123 + ... + 6458.

It is an arithmetic number, because the mean of its divisors is an integer number (898443).

Almost surely, 220848608 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 20848608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32343948).

20848608 is an abundant number, since it is smaller than the sum of its proper divisors (43839288).

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

20848608 is a wasteful number, since it uses less digits than its factorization.

20848608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6608 (or 6597 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 20848608 is about 4566.0275951860. The cubic root of 20848608 is about 275.2278354304.

The spelling of 20848608 in words is "twenty million, eight hundred forty-eight thousand, six hundred eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 66 72 88 96 99 132 144 176 198 264 288 352 396 528 792 1056 1584 3168 6581 13162 19743 26324 39486 52648 59229 72391 78972 105296 118458 144782 157944 210592 217173 236916 289564 315888 434346 473832 579128 631776 651519 868692 947664 1158256 1303038 1737384 1895328 2316512 2606076 3474768 5212152 6949536 10424304 20848608