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20882208 = 253375879
BaseRepresentation
bin100111110101…
…0001100100000
31110021221000010
41033222030200
520321212313
62023324520
7342332034
oct117521440
943257003
1020882208
1110873126
126bb0740
134431b49
142ab81c4
151c774c3
hex13ea320

20882208 has 48 divisors (see below), whose sum is σ = 56306880. Its totient is φ = 6771456.

The previous prime is 20882203. The next prime is 20882209. The reversal of 20882208 is 80228802.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×208822082 = 872133221910528, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (20882203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 613 + ... + 6491.

It is an arithmetic number, because the mean of its divisors is an integer number (1173060).

Almost surely, 220882208 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 20882208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28153440).

20882208 is an abundant number, since it is smaller than the sum of its proper divisors (35424672).

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

20882208 is a wasteful number, since it uses less digits than its factorization.

20882208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5929 (or 5921 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 30.

The square root of 20882208 is about 4569.7054609679. The cubic root of 20882208 is about 275.3756101534.

The spelling of 20882208 in words is "twenty million, eight hundred eighty-two thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 74 96 111 148 222 296 444 592 888 1184 1776 3552 5879 11758 17637 23516 35274 47032 70548 94064 141096 188128 217523 282192 435046 564384 652569 870092 1305138 1740184 2610276 3480368 5220552 6960736 10441104 20882208