Search a number
-
+
5035441400 = 23521110721391
BaseRepresentation
bin1001011000010001…
…01011110011111000
3110222221001221000122
410230020223303320
540303033111100
62151354552412
7235532355113
oct45410536370
913887057018
105035441400
112154414720
12b86438708
136232ba532
1435aa8957a
151e7107985
hex12c22bcf8

5035441400 has 96 divisors (see below), whose sum is σ = 12891674880. Its totient is φ = 1813872000.

The previous prime is 5035441393. The next prime is 5035441403. The reversal of 5035441400 is 41445305.

It is a self number, because there is not a number n which added to its sum of digits gives 5035441400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5035441403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 224705 + ... + 246095.

It is an arithmetic number, because the mean of its divisors is an integer number (134288280).

Almost surely, 25035441400 is an apocalyptic number.

5035441400 is a gapful number since it is divisible by the number (50) 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 5035441400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6445837440).

5035441400 is an abundant number, since it is smaller than the sum of its proper divisors (7856233480).

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

5035441400 is a wasteful number, since it uses less digits than its factorization.

5035441400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21525 (or 21516 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 26.

The square root of 5035441400 is about 70960.8441325214. The cubic root of 5035441400 is about 1714.0067006887.

Adding to 5035441400 its reverse (41445305), we get a palindrome (5076886705).

The spelling of 5035441400 in words is "five billion, thirty-five million, four hundred forty-one thousand, four hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 107 110 200 214 220 275 428 440 535 550 856 1070 1100 1177 2140 2200 2354 2675 4280 4708 5350 5885 9416 10700 11770 21391 21400 23540 29425 42782 47080 58850 85564 106955 117700 171128 213910 235301 235400 427820 470602 534775 855640 941204 1069550 1176505 1882408 2139100 2288837 2353010 4278200 4577674 4706020 5882525 9155348 9412040 11444185 11765050 18310696 22888370 23530100 25177207 45776740 47060200 50354414 57220925 91553480 100708828 114441850 125886035 201417656 228883700 251772070 457767400 503544140 629430175 1007088280 1258860350 2517720700 5035441400