Search a number
-
+
20434848 = 253747647
BaseRepresentation
bin100110111110…
…0111110100000
31102110012100020
41031330332200
520212403343
62005553440
7335456550
oct115747640
942405306
1020434848
1110598005
126a15880
134306335
1429dd160
151bd9b83
hex137cfa0

20434848 has 96 divisors (see below), whose sum is σ = 62705664. Its totient is φ = 5705472.

The previous prime is 20434811. The next prime is 20434853. The reversal of 20434848 is 84843402.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31261 + ... + 31907.

It is an arithmetic number, because the mean of its divisors is an integer number (653184).

Almost surely, 220434848 is an apocalyptic number.

20434848 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20434848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31352832).

20434848 is an abundant number, since it is smaller than the sum of its proper divisors (42270816).

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

20434848 is a wasteful number, since it uses less digits than its factorization.

20434848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 714 (or 706 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 33.

The square root of 20434848 is about 4520.4920086203. The cubic root of 20434848 is about 273.3949388537.

The spelling of 20434848 in words is "twenty million, four hundred thirty-four thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 47 48 56 84 94 96 112 141 168 188 224 282 329 336 376 564 647 658 672 752 987 1128 1294 1316 1504 1941 1974 2256 2588 2632 3882 3948 4512 4529 5176 5264 7764 7896 9058 10352 10528 13587 15528 15792 18116 20704 27174 30409 31056 31584 36232 54348 60818 62112 72464 91227 108696 121636 144928 182454 212863 217392 243272 364908 425726 434784 486544 638589 729816 851452 973088 1277178 1459632 1702904 2554356 2919264 3405808 5108712 6811616 10217424 20434848