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2040424204 = 22713341809
BaseRepresentation
bin111100110011110…
…0110011100001100
312021012102021210211
41321213212130030
513134322033304
6534245212204
7101364214420
oct17147463414
95235367724
102040424204
119578479a5
1248b401064
1326695c000
14154dbcb80
15be1ea204
hex799e670c

2040424204 has 96 divisors (see below), whose sum is σ = 4534185600. Its totient is φ = 786539520.

The previous prime is 2040424189. The next prime is 2040424223. The reversal of 2040424204 is 4024240402.

It is a zygodrome in base 2.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2521752 + ... + 2522560.

It is an arithmetic number, because the mean of its divisors is an integer number (47231100).

Almost surely, 22040424204 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 2040424204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2267092800).

2040424204 is an abundant number, since it is smaller than the sum of its proper divisors (2493761396).

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

2040424204 is a wasteful number, since it uses less digits than its factorization.

2040424204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 900 (or 872 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 22.

The square root of 2040424204 is about 45171.0549356554. The cubic root of 2040424204 is about 1268.3530439951.

Adding to 2040424204 its reverse (4024240402), we get a palindrome (6064664606).

The spelling of 2040424204 in words is "two billion, forty million, four hundred twenty-four thousand, two hundred four".

Divisors: 1 2 4 7 13 14 26 28 41 52 82 91 164 169 182 287 338 364 533 574 676 809 1066 1148 1183 1618 2132 2197 2366 3236 3731 4394 4732 5663 6929 7462 8788 10517 11326 13858 14924 15379 21034 22652 27716 30758 33169 42068 48503 61516 66338 73619 90077 97006 132676 136721 147238 180154 194012 232183 273442 294476 360308 431197 464366 546884 630539 862394 928732 957047 1261078 1724788 1777373 1914094 2522156 3018379 3554746 3828188 5605561 6036758 7109492 11211122 12073516 12441611 22422244 24883222 39238927 49766444 72872293 78477854 145744586 156955708 291489172 510106051 1020212102 2040424204