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52803444100 = 225211220892
BaseRepresentation
bin110001001011010101…
…001001110110000100
312001021221222212221211
4301023111021312010
51331120140202400
640131345021204
73546342604111
oct611325116604
9161257885854
1052803444100
1120437193100
12a297924804
134c968047a4
1427acbad908
151590a5edba
hexc4b549d84

52803444100 has 81 divisors (see below), whose sum is σ = 126007443471. Its totient is φ = 19192060800.

The previous prime is 52803444097. The next prime is 52803444131. The reversal of 52803444100 is 144430825.

The square root of 52803444100 is 229790.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 4364716356 + 48438727744 = 66066^2 + 220088^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 25275856 + ... + 25277944.

Almost surely, 252803444100 is an apocalyptic number.

52803444100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

52803444100 is the 229790-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52803444100

52803444100 is an abundant number, since it is smaller than the sum of its proper divisors (73203999371).

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

52803444100 is a wasteful number, since it uses less digits than its factorization.

52803444100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4214 (or 2107 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 31.

Adding to 52803444100 its reverse (144430825), we get a palindrome (52947874925).

The spelling of 52803444100 in words is "fifty-two billion, eight hundred three million, four hundred forty-four thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 121 220 242 275 484 550 605 1100 1210 2089 2420 3025 4178 6050 8356 10445 12100 20890 22979 41780 45958 52225 91916 104450 114895 208900 229790 252769 459580 505538 574475 1011076 1148950 1263845 2297900 2527690 4363921 5055380 6319225 8727842 12638450 17455684 21819605 25276900 43639210 48003131 87278420 96006262 109098025 192012524 218196050 240015655 436392100 480031310 528034441 960062620 1056068882 1200078275 2112137764 2400156550 2640172205 4800313100 5280344410 10560688820 13200861025 26401722050 52803444100