Search a number
-
+
5124045400 = 23521910511283
BaseRepresentation
bin1001100010110101…
…01011101001011000
3111020002210110212021
410301122223221120
540443223423100
62204242024224
7240656444605
oct46132535130
914202713767
105124045400
11219a432171
12bb0048074
13638770c36
143687516ac
151eecaaa1a
hex1316aba58

5124045400 has 96 divisors (see below), whose sum is σ = 12562142400. Its totient is φ = 1938384000.

The previous prime is 5124045391. The next prime is 5124045401. The reversal of 5124045400 is 45404215.

It is a happy number.

It is a super-2 number, since 2×51240454002 = 52511682522522320000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5124045401) 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, 3993159 + ... + 3994441.

It is an arithmetic number, because the mean of its divisors is an integer number (130855650).

Almost surely, 25124045400 is an apocalyptic number.

5124045400 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 5124045400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6281071200).

5124045400 is an abundant number, since it is smaller than the sum of its proper divisors (7438097000).

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

5124045400 is a wasteful number, since it uses less digits than its factorization.

5124045400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2369 (or 2360 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 25.

The square root of 5124045400 is about 71582.4377902848. The cubic root of 5124045400 is about 1724.0015674248.

Adding to 5124045400 its reverse (45404215), we get a palindrome (5169449615).

The spelling of 5124045400 in words is "five billion, one hundred twenty-four million, forty-five thousand, four hundred".

Divisors: 1 2 4 5 8 10 19 20 25 38 40 50 76 95 100 152 190 200 380 475 760 950 1051 1283 1900 2102 2566 3800 4204 5132 5255 6415 8408 10264 10510 12830 19969 21020 24377 25660 26275 32075 39938 42040 48754 51320 52550 64150 79876 97508 99845 105100 121885 128300 159752 195016 199690 210200 243770 256600 399380 487540 499225 609425 798760 975080 998450 1218850 1348433 1996900 2437700 2696866 3993800 4875400 5393732 6742165 10787464 13484330 25620227 26968660 33710825 51240454 53937320 67421650 102480908 128101135 134843300 204961816 256202270 269686600 512404540 640505675 1024809080 1281011350 2562022700 5124045400