Search a number
-
+
5431456100 = 2252717344851
BaseRepresentation
bin1010000111011110…
…10111000101100100
3112000112020120001202
411003233113011210
542110423043400
62254542542032
7251411420660
oct50357270544
915015216052
105431456100
112337a083a4
121076b97918
13687364b65
143974d38a0
1521bc804d5
hex143bd7164

5431456100 has 72 divisors (see below), whose sum is σ = 13548174528. Its totient is φ = 1851408000.

The previous prime is 5431456097. The next prime is 5431456183. The reversal of 5431456100 is 16541345.

It is a happy number.

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 23 ways as a sum of consecutive naturals, for example, 98675 + ... + 143525.

Almost surely, 25431456100 is an apocalyptic number.

5431456100 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 5431456100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6774087264).

5431456100 is an abundant number, since it is smaller than the sum of its proper divisors (8116718428).

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

5431456100 is a wasteful number, since it uses less digits than its factorization.

5431456100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45045 (or 45038 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 29.

The square root of 5431456100 is about 73698.4131443819. The cubic root of 5431456100 is about 1757.8106493307.

Adding to 5431456100 its reverse (16541345), we get a palindrome (5447997445).

The spelling of 5431456100 in words is "five billion, four hundred thirty-one million, four hundred fifty-six thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 140 173 175 346 350 692 700 865 1211 1730 2422 3460 4325 4844 6055 8650 12110 17300 24220 30275 44851 60550 89702 121100 179404 224255 313957 448510 627914 897020 1121275 1255828 1569785 2242550 3139570 4485100 6279140 7759223 7848925 15518446 15697850 31036892 31395700 38796115 54314561 77592230 108629122 155184460 193980575 217258244 271572805 387961150 543145610 775922300 1086291220 1357864025 2715728050 5431456100