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52726053200 = 24522812931601
BaseRepresentation
bin110001000110101101…
…111011100101010000
312001002120101000121012
4301012231323211100
51330440332200300
640115542150052
73544413025502
oct610655734520
9161076330535
1052726053200
11203a7534187
12a275a22328
134c83778b62
1427a27c5d72
151588d74435
hexc46b7b950

52726053200 has 120 divisors (see below), whose sum is σ = 127638689976. Its totient is φ = 20930560000.

The previous prime is 52726053179. The next prime is 52726053251. The reversal of 52726053200 is 235062725.

52726053200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 12 ways, for example, as 2050640656 + 50675412544 = 45284^2 + 225112^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 32932400 + ... + 32934000.

Almost surely, 252726053200 is an apocalyptic number.

52726053200 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 52726053200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63819344988).

52726053200 is an abundant number, since it is smaller than the sum of its proper divisors (74912636776).

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

52726053200 is a wasteful number, since it uses less digits than its factorization.

52726053200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2193 (or 2182 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 32.

The spelling of 52726053200 in words is "fifty-two billion, seven hundred twenty-six million, fifty-three thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 281 293 400 562 586 1124 1172 1405 1465 1601 2248 2344 2810 2930 3202 4496 4688 5620 5860 6404 7025 7325 8005 11240 11720 12808 14050 14650 16010 22480 23440 25616 28100 29300 32020 40025 56200 58600 64040 80050 82333 112400 117200 128080 160100 164666 320200 329332 411665 449881 469093 640400 658664 823330 899762 938186 1317328 1646660 1799524 1876372 2058325 2249405 2345465 3293320 3599048 3752744 4116650 4498810 4690930 6586640 7198096 7505488 8233300 8997620 9381860 11247025 11727325 16466600 17995240 18763720 22494050 23454650 32933200 35990480 37527440 44988100 46909300 89976200 93818600 131815133 179952400 187637200 263630266 527260532 659075665 1054521064 1318151330 2109042128 2636302660 3295378325 5272605320 6590756650 10545210640 13181513300 26363026600 52726053200