Search a number
-
+
5412505200 = 243524510421
BaseRepresentation
bin1010000101001110…
…00100011001110000
3111222012120202022120
411002213010121300
542041100131300
62253024434240
7251061351354
oct50247043160
914865522276
105412505200
1123282442a3
121070778980
1368345b0cb
14394b9d464
1521a28a3a0
hex1429c4670

5412505200 has 60 divisors (see below), whose sum is σ = 17338062168. Its totient is φ = 1443334400.

The previous prime is 5412505193. The next prime is 5412505213. The reversal of 5412505200 is 25052145.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2254011 + ... + 2256410.

Almost surely, 25412505200 is an apocalyptic number.

5412505200 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

5412505200 is an abundant number, since it is smaller than the sum of its proper divisors (11925556968).

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

5412505200 is a wasteful number, since it uses less digits than its factorization.

5412505200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4510442 (or 4510431 counting only the distinct ones).

The product of its (nonzero) digits is 2000, while the sum is 24.

The square root of 5412505200 is about 73569.7301884410. The cubic root of 5412505200 is about 1755.7638739306.

Adding to 5412505200 its reverse (25052145), we get a palindrome (5437557345).

The spelling of 5412505200 in words is "five billion, four hundred twelve million, five hundred five thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 150 200 240 300 400 600 1200 4510421 9020842 13531263 18041684 22552105 27062526 36083368 45104210 54125052 67656315 72166736 90208420 108250104 112760525 135312630 180416840 216500208 225521050 270625260 338281575 360833680 451042100 541250520 676563150 902084200 1082501040 1353126300 1804168400 2706252600 5412505200