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52550202400 = 2552467140659
BaseRepresentation
bin110000111100001111…
…000111010000100000
312000122022110212122121
4300330033013100200
51330110322434100
640050301114024
73540146231113
oct607417072040
9160568425577
1052550202400
1120317245943
12a226b58914
134c561c8727
1427872cc57a
1515786da51a
hexc3c3c7420

52550202400 has 72 divisors (see below), whose sum is σ = 128563802640. Its totient is φ = 20974920960.

The previous prime is 52550202371. The next prime is 52550202449. The reversal of 52550202400 is 420205525.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 303271 + ... + 443929.

It is an arithmetic number, because the mean of its divisors is an integer number (1785608370).

Almost surely, 252550202400 is an apocalyptic number.

52550202400 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 52550202400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64281901320).

52550202400 is an abundant number, since it is smaller than the sum of its proper divisors (76013600240).

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

52550202400 is a wasteful number, since it uses less digits than its factorization.

52550202400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141146 (or 141133 counting only the distinct ones).

The product of its (nonzero) digits is 4000, while the sum is 25.

Adding to 52550202400 its reverse (420205525), we get a palindrome (52970407925).

The spelling of 52550202400 in words is "fifty-two billion, five hundred fifty million, two hundred two thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 160 200 400 467 800 934 1868 2335 3736 4670 7472 9340 11675 14944 18680 23350 37360 46700 74720 93400 140659 186800 281318 373600 562636 703295 1125272 1406590 2250544 2813180 3516475 4501088 5626360 7032950 11252720 14065900 22505440 28131800 56263600 65687753 112527200 131375506 262751012 328438765 525502024 656877530 1051004048 1313755060 1642193825 2102008096 2627510120 3284387650 5255020240 6568775300 10510040480 13137550600 26275101200 52550202400