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20049216 = 263112863
BaseRepresentation
bin100110001111…
…0110101000000
31101201121100120
41030132311000
520113033331
61553420240
7332262345
oct114366500
941647316
1020049216
1110354300
12686a680
1341cc955
14293c7cc
151b60796
hex131ed40

20049216 has 84 divisors (see below), whose sum is σ = 58375296. Its totient is φ = 6068480.

The previous prime is 20049209. The next prime is 20049217. The reversal of 20049216 is 61294002.

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20049217) 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 11 ways as a sum of consecutive naturals, for example, 22801 + ... + 23663.

It is an arithmetic number, because the mean of its divisors is an integer number (694944).

Almost surely, 220049216 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 20049216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29187648).

20049216 is an abundant number, since it is smaller than the sum of its proper divisors (38326080).

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

20049216 is a wasteful number, since it uses less digits than its factorization.

20049216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 900 (or 879 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 20049216 is about 4477.6350900894. The cubic root of 20049216 is about 271.6642339016.

Multiplying 20049216 by its sum of digits (24), we get a palindrome (481181184).

The spelling of 20049216 in words is "twenty million, forty-nine thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 121 132 176 192 242 264 352 363 484 528 704 726 863 968 1056 1452 1726 1936 2112 2589 2904 3452 3872 5178 5808 6904 7744 9493 10356 11616 13808 18986 20712 23232 27616 28479 37972 41424 55232 56958 75944 82848 104423 113916 151888 165696 208846 227832 303776 313269 417692 455664 607552 626538 835384 911328 1253076 1670768 1822656 2506152 3341536 5012304 6683072 10024608 20049216