Search a number
-
+
2044535436 = 2232319112011
BaseRepresentation
bin111100111011101…
…0010001010001100
312021111011011100200
41321313102022030
513141400113221
6534513253500
7101444156466
oct17167221214
95244134320
102044535436
1195a0a5809
12490864290
1326776b3a8
1415576d136
15be75d426
hex79dd228c

2044535436 has 72 divisors (see below), whose sum is σ = 5343356928. Its totient is φ = 658476000.

The previous prime is 2044535429. The next prime is 2044535513. The reversal of 2044535436 is 6345354402.

2044535436 is a `hidden beast` number, since 20 + 44 + 53 + 543 + 6 = 666.

2044535436 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 2044535436.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1015671 + ... + 1017681.

Almost surely, 22044535436 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 2044535436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2671678464).

2044535436 is an abundant number, since it is smaller than the sum of its proper divisors (3298821492).

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

2044535436 is a wasteful number, since it uses less digits than its factorization.

2044535436 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2963 (or 2958 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 36.

The square root of 2044535436 is about 45216.5394076106. The cubic root of 2044535436 is about 1269.2043367990.

Adding to 2044535436 its reverse (6345354402), we get a palindrome (8389889838).

The spelling of 2044535436 in words is "two billion, forty-four million, five hundred thirty-five thousand, four hundred thirty-six".

Divisors: 1 2 3 4 6 9 12 18 31 36 62 93 124 186 279 372 558 911 1116 1822 2011 2733 3644 4022 5466 6033 8044 8199 10932 12066 16398 18099 24132 28241 32796 36198 56482 62341 72396 84723 112964 124682 169446 187023 249364 254169 338892 374046 508338 561069 748092 1016676 1122138 1832021 2244276 3664042 5496063 7328084 10992126 16488189 21984252 32976378 56792651 65952756 113585302 170377953 227170604 340755906 511133859 681511812 1022267718 2044535436