Search a number
-
+
5523550400 = 26528341593
BaseRepresentation
bin1010010010011101…
…01011000011000000
3112020221112102200202
411021032223003000
542303012103100
62312032504332
7253610255324
oct51116530300
915227472622
105523550400
11238499a195
1210a19ab0a8
136a046b124
143a5827984
15224dc27d5
hex1493ab0c0

5523550400 has 84 divisors (see below), whose sum is σ = 13755468552. Its totient is φ = 2182748160.

The previous prime is 5523550391. The next prime is 5523550429. The reversal of 5523550400 is 40553255.

It is a happy 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, 112004 + ... + 153596.

It is an arithmetic number, because the mean of its divisors is an integer number (163755578).

Almost surely, 25523550400 is an apocalyptic number.

5523550400 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 5523550400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6877734276).

5523550400 is an abundant number, since it is smaller than the sum of its proper divisors (8231918152).

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

5523550400 is a wasteful number, since it uses less digits than its factorization.

5523550400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41698 (or 41683 counting only the distinct ones).

The product of its (nonzero) digits is 15000, while the sum is 29.

The square root of 5523550400 is about 74320.5920320876. The cubic root of 5523550400 is about 1767.6900079618.

The spelling of 5523550400 in words is "five billion, five hundred twenty-three million, five hundred fifty thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 83 100 160 166 200 320 332 400 415 664 800 830 1328 1600 1660 2075 2656 3320 4150 5312 6640 8300 13280 16600 26560 33200 41593 66400 83186 132800 166372 207965 332744 415930 665488 831860 1039825 1330976 1663720 2079650 2661952 3327440 3452219 4159300 6654880 6904438 8318600 13309760 13808876 16637200 17261095 27617752 33274400 34522190 55235504 66548800 69044380 86305475 110471008 138088760 172610950 220942016 276177520 345221900 552355040 690443800 1104710080 1380887600 2761775200 5523550400