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20479264 = 2513192591
BaseRepresentation
bin100111000011…
…1110100100000
31102112110021021
41032013310200
520220314024
62010535224
7336033211
oct116076440
942473237
1020479264
1110618413
126a37514
134320610
142a11408
151be7de4
hex1387d20

20479264 has 48 divisors (see below), whose sum is σ = 45722880. Its totient is φ = 8951040.

The previous prime is 20479243. The next prime is 20479279. The reversal of 20479264 is 46297402.

It is a super-4 number, since 4×204792644 (a number of 30 digits) contains 4444 as substring.

It is an unprimeable number.

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, 6609 + ... + 9199.

It is an arithmetic number, because the mean of its divisors is an integer number (952560).

Almost surely, 220479264 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 20479264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22861440).

20479264 is an abundant number, since it is smaller than the sum of its proper divisors (25243616).

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

20479264 is a wasteful number, since it uses less digits than its factorization.

20479264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2633 (or 2625 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 34.

The square root of 20479264 is about 4525.4020815835. The cubic root of 20479264 is about 273.5928739751.

It can be divided in two parts, 2047 and 9264, that added together give a palindrome (11311).

The spelling of 20479264 in words is "twenty million, four hundred seventy-nine thousand, two hundred sixty-four".

Divisors: 1 2 4 8 13 16 19 26 32 38 52 76 104 152 208 247 304 416 494 608 988 1976 2591 3952 5182 7904 10364 20728 33683 41456 49229 67366 82912 98458 134732 196916 269464 393832 538928 639977 787664 1077856 1279954 1575328 2559908 5119816 10239632 20479264