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20481408 = 273223773
BaseRepresentation
bin100111000100…
…0010110000000
31102112120012200
41032020112000
520220401113
62010553200
7336042363
oct116102600
942476180
1020481408
1110619a92
126a38800
13432159c
142a120da
151be8873
hex1388580

20481408 has 96 divisors (see below), whose sum is σ = 61579440. Its totient is φ = 6521856.

The previous prime is 20481403. The next prime is 20481451. The reversal of 20481408 is 80418402.

It is a tau number, because it is divible by the number of its divisors (96).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20481401) 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, 26110 + ... + 26882.

Almost surely, 220481408 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 20481408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30789720).

20481408 is an abundant number, since it is smaller than the sum of its proper divisors (41098032).

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

20481408 is a wasteful number, since it uses less digits than its factorization.

20481408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 816 (or 801 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The square root of 20481408 is about 4525.6389604121. The cubic root of 20481408 is about 273.6024212364.

The spelling of 20481408 in words is "twenty million, four hundred eighty-one thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 32 36 46 48 64 69 72 92 96 128 138 144 184 192 207 276 288 368 384 414 552 576 736 773 828 1104 1152 1472 1546 1656 2208 2319 2944 3092 3312 4416 4638 6184 6624 6957 8832 9276 12368 13248 13914 17779 18552 24736 26496 27828 35558 37104 49472 53337 55656 71116 74208 98944 106674 111312 142232 148416 160011 213348 222624 284464 296832 320022 426696 445248 568928 640044 853392 890496 1137856 1280088 1706784 2275712 2560176 3413568 5120352 6827136 10240704 20481408