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204053024 = 2572274013
BaseRepresentation
bin11000010100110…
…01101000100000
3112012221222010102
430022121220200
5404214144044
632125321532
75025264530
oct1412315040
9465858112
10204053024
11a520106a
12584062a8
1333376046
141d1594c0
1512daa24e
hexc299a20

204053024 has 48 divisors (see below), whose sum is σ = 461256768. Its totient is φ = 87044352.

The previous prime is 204053011. The next prime is 204053029. The reversal of 204053024 is 420350402.

204053024 = T7632 + T7633 + ... + T7638.

It is a junction number, because it is equal to n+sod(n) for n = 204052987 and 204053005.

It is not an unprimeable number, because it can be changed into a prime (204053029) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 48842 + ... + 52854.

It is an arithmetic number, because the mean of its divisors is an integer number (9609516).

Almost surely, 2204053024 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 204053024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230628384).

204053024 is an abundant number, since it is smaller than the sum of its proper divisors (257203744).

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

204053024 is a wasteful number, since it uses less digits than its factorization.

204053024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4257 (or 4249 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 20.

The square root of 204053024 is about 14284.7129477634. The cubic root of 204053024 is about 588.7275305125.

The spelling of 204053024 in words is "two hundred four million, fifty-three thousand, twenty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 224 227 454 908 1589 1816 3178 3632 4013 6356 7264 8026 12712 16052 25424 28091 32104 50848 56182 64208 112364 128416 224728 449456 898912 910951 1821902 3643804 6376657 7287608 12753314 14575216 25506628 29150432 51013256 102026512 204053024