Search a number
-
+
4514124500 = 225319289281
BaseRepresentation
bin1000011010001000…
…00001001011010100
3102122121010021200022
410031010001023110
533221103441000
62023533204312
7216602265554
oct41504011324
912577107608
104514124500
111a07118606
12a5b930698
1356c2b07b2
1430b745164
151b647d585
hex10d1012d4

4514124500 has 144 divisors (see below), whose sum is σ = 10559399760. Its totient is φ = 1685376000.

The previous prime is 4514124479. The next prime is 4514124521. The reversal of 4514124500 is 54214154.

It is an interprime number because it is at equal distance from previous prime (4514124479) and next prime (4514124521).

It can be written as a sum of positive squares in 8 ways, for example, as 1791998224 + 2722126276 = 42332^2 + 52174^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 4514124500.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16064360 + ... + 16064640.

It is an arithmetic number, because the mean of its divisors is an integer number (73329165).

Almost surely, 24514124500 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 4514124500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5279699880).

4514124500 is an abundant number, since it is smaller than the sum of its proper divisors (6045275260).

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

4514124500 is a wasteful number, since it uses less digits than its factorization.

4514124500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 427 (or 396 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 26.

The square root of 4514124500 is about 67187.2346506388. The cubic root of 4514124500 is about 1652.6891563297.

Adding to 4514124500 its reverse (54214154), we get a palindrome (4568338654).

The spelling of 4514124500 in words is "four billion, five hundred fourteen million, one hundred twenty-four thousand, five hundred".

Divisors: 1 2 4 5 10 19 20 25 38 50 76 89 95 100 125 178 190 250 281 356 361 380 445 475 500 562 722 890 950 1124 1405 1444 1691 1780 1805 1900 2225 2375 2810 3382 3610 4450 4750 5339 5620 6764 7025 7220 8455 8900 9025 9500 10678 11125 14050 16910 18050 21356 22250 25009 26695 28100 32129 33820 35125 36100 42275 44500 45125 50018 53390 64258 70250 84550 90250 100036 101441 106780 125045 128516 133475 140500 160645 169100 180500 202882 211375 250090 266950 321290 405764 422750 475171 500180 507205 533900 625225 642580 667375 803225 845500 950342 1014410 1250450 1334750 1606450 1900684 2028820 2375855 2500900 2536025 2669500 3126125 3212900 4016125 4751710 5072050 6252250 8032250 9028249 9503420 10144100 11879275 12504500 12680125 16064500 18056498 23758550 25360250 36112996 45141245 47517100 50720500 59396375 90282490 118792750 180564980 225706225 237585500 451412450 902824900 1128531125 2257062250 4514124500