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20452608 = 283311269
BaseRepresentation
bin100111000000…
…1010100000000
31102111002201000
41032001110000
520213440413
62010212000
7335562411
oct116012400
942432630
1020452608
11105aa390
126a24000
134311447
142a05808
151be0073
hex1381500

20452608 has 144 divisors (see below), whose sum is σ = 66225600. Its totient is φ = 6174720.

The previous prime is 20452577. The next prime is 20452639. The reversal of 20452608 is 80625402.

20452608 is a `hidden beast` number, since 2 + 0 + 4 + 52 + 608 = 666.

It is an interprime number because it is at equal distance from previous prime (20452577) and next prime (20452639).

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 75898 + ... + 76166.

It is an arithmetic number, because the mean of its divisors is an integer number (459900).

Almost surely, 220452608 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 20452608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33112800).

20452608 is an abundant number, since it is smaller than the sum of its proper divisors (45772992).

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

20452608 is a wasteful number, since it uses less digits than its factorization.

20452608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305 (or 285 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 20452608 is about 4522.4559699349. The cubic root of 20452608 is about 273.4741187616.

The spelling of 20452608 in words is "twenty million, four hundred fifty-two thousand, six hundred eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 54 64 66 72 88 96 99 108 128 132 144 176 192 198 216 256 264 269 288 297 352 384 396 432 528 538 576 594 704 768 792 807 864 1056 1076 1152 1188 1408 1584 1614 1728 2112 2152 2304 2376 2421 2816 2959 3168 3228 3456 4224 4304 4752 4842 5918 6336 6456 6912 7263 8448 8608 8877 9504 9684 11836 12672 12912 14526 17216 17754 19008 19368 23672 25344 25824 26631 29052 34432 35508 38016 38736 47344 51648 53262 58104 68864 71016 76032 77472 79893 94688 103296 106524 116208 142032 154944 159786 189376 206592 213048 232416 284064 309888 319572 378752 426096 464832 568128 619776 639144 757504 852192 929664 1136256 1278288 1704384 1859328 2272512 2556576 3408768 5113152 6817536 10226304 20452608