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20455488 = 2632172089
BaseRepresentation
bin100111000001…
…0000001000000
31102111020122200
41032002001000
520214033423
62010233200
7335603664
oct116020100
942436580
1020455488
1110601569
126a25800
134312851
142a068a4
151be0d43
hex1382040

20455488 has 84 divisors (see below), whose sum is σ = 62110620. Its totient is φ = 6414336.

The previous prime is 20455483. The next prime is 20455499. The reversal of 20455488 is 88455402.

20455488 is a `hidden beast` number, since 20 + 4 + 554 + 88 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 17040384 + 3415104 = 4128^2 + 1848^2 .

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

It is not an unprimeable number, because it can be changed into a prime (20455483) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8748 + ... + 10836.

Almost surely, 220455488 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 20455488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31055310).

20455488 is an abundant number, since it is smaller than the sum of its proper divisors (41655132).

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

20455488 is a wasteful number, since it uses less digits than its factorization.

20455488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2124 (or 2111 counting only the distinct ones).

The product of its (nonzero) digits is 51200, while the sum is 36.

The square root of 20455488 is about 4522.7743697868. The cubic root of 20455488 is about 273.4869544270.

The spelling of 20455488 in words is "twenty million, four hundred fifty-five thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 64 68 72 96 102 136 144 153 192 204 272 288 306 408 544 576 612 816 1088 1224 1632 2089 2448 3264 4178 4896 6267 8356 9792 12534 16712 18801 25068 33424 35513 37602 50136 66848 71026 75204 100272 106539 133696 142052 150408 200544 213078 284104 300816 319617 401088 426156 568208 601632 639234 852312 1136416 1203264 1278468 1704624 2272832 2556936 3409248 5113872 6818496 10227744 20455488