Search a number
-
+
52754016200 = 235210921492
BaseRepresentation
bin110001001000011000…
…100110011111001000
312001011111222200121212
4301020120212133020
51331020012004300
640122421352252
73545202511334
oct611030463710
9161144880555
1052754016200
11204112a31a6
12a283268688
134c894b9902
1427a63c47c4
15158b549935
hexc486267c8

52754016200 has 108 divisors (see below), whose sum is σ = 124625041065. Its totient is φ = 20767691520.

The previous prime is 52754016199. The next prime is 52754016221. The reversal of 52754016200 is 261045725.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 14 ways, for example, as 7094019076 + 45659997124 = 84226^2 + 213682^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=162410.

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, 354053726 + ... + 354053874.

Almost surely, 252754016200 is an apocalyptic number.

52754016200 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 52754016200

52754016200 is an abundant number, since it is smaller than the sum of its proper divisors (71871024865).

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

52754016200 is a wasteful number, since it uses less digits than its factorization.

52754016200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 532 (or 265 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 32.

Multiplying 52754016200 by its sum of digits (32), we get a square (1688128518400 = 12992802).

The spelling of 52754016200 in words is "fifty-two billion, seven hundred fifty-four million, sixteen thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 109 149 200 218 298 436 545 596 745 872 1090 1192 1490 2180 2725 2980 3725 4360 5450 5960 7450 10900 11881 14900 16241 21800 22201 23762 29800 32482 44402 47524 59405 64964 81205 88804 95048 111005 118810 129928 162410 177608 222010 237620 297025 324820 406025 444020 475240 555025 594050 649640 812050 888040 1110050 1188100 1624100 1770269 2220100 2376200 2419909 3248200 3540538 4440200 4839818 7081076 8851345 9679636 12099545 14162152 17702690 19359272 24199090 35405380 44256725 48398180 60497725 70810760 88513450 96796360 120995450 177026900 241990900 263770081 354053800 483981800 527540162 1055080324 1318850405 2110160648 2637700810 5275401620 6594252025 10550803240 13188504050 26377008100 52754016200