Search a number
-
+
5513087200 = 25528977431
BaseRepresentation
bin1010010001001101…
…10000100011100000
3112020012211211212211
411020212300203200
542242322242300
62311020331504
7253422316345
oct51046604340
915205754784
105513087200
112379aa3015
12109a3a3b94
1369b24679a
143a42a27cc
152240074ba
hex1489b08e0

5513087200 has 72 divisors (see below), whose sum is σ = 13610222640. Its totient is φ = 2180428800.

The previous prime is 5513087191. The next prime is 5513087201. The reversal of 5513087200 is 27803155.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5513087201) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 32485 + ... + 109915.

It is an arithmetic number, because the mean of its divisors is an integer number (189030870).

Almost surely, 25513087200 is an apocalyptic number.

5513087200 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 5513087200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6805111320).

5513087200 is an abundant number, since it is smaller than the sum of its proper divisors (8097135440).

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

5513087200 is a wasteful number, since it uses less digits than its factorization.

5513087200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77540 (or 77527 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 31.

The square root of 5513087200 is about 74250.1663297800. The cubic root of 5513087200 is about 1766.5731306042.

The spelling of 5513087200 in words is "five billion, five hundred thirteen million, eighty-seven thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 89 100 160 178 200 356 400 445 712 800 890 1424 1780 2225 2848 3560 4450 7120 8900 14240 17800 35600 71200 77431 154862 309724 387155 619448 774310 1238896 1548620 1935775 2477792 3097240 3871550 6194480 6891359 7743100 12388960 13782718 15486200 27565436 30972400 34456795 55130872 61944800 68913590 110261744 137827180 172283975 220523488 275654360 344567950 551308720 689135900 1102617440 1378271800 2756543600 5513087200