Search a number
-
+
52510513300 = 22527597317417
BaseRepresentation
bin110000111001110111…
…101101100010010100
312000112112210110102221
4300321313231202110
51330020142411200
640042322312124
73536154666340
oct607167554224
9160475713387
1052510513300
11202a68a7933
12a2157b8644
134c4ac1055b
142781d1a620
151574e9a91a
hexc39ded894

52510513300 has 144 divisors (see below), whose sum is σ = 134255157120. Its totient is φ = 17455011840.

The previous prime is 52510513283. The next prime is 52510513309. The reversal of 52510513300 is 331501525.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52510513309) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3006192 + ... + 3023608.

It is an arithmetic number, because the mean of its divisors is an integer number (932327480).

Almost surely, 252510513300 is an apocalyptic number.

52510513300 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 52510513300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67127578560).

52510513300 is an abundant number, since it is smaller than the sum of its proper divisors (81744643820).

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

52510513300 is a wasteful number, since it uses less digits than its factorization.

52510513300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17570 (or 17563 counting only the distinct ones).

The product of its (nonzero) digits is 2250, while the sum is 25.

The spelling of 52510513300 in words is "fifty-two billion, five hundred ten million, five hundred thirteen thousand, three hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 59 70 73 100 118 140 146 175 236 292 295 350 365 413 511 590 700 730 826 1022 1180 1460 1475 1652 1825 2044 2065 2555 2950 3650 4130 4307 5110 5900 7300 8260 8614 10220 10325 12775 17228 17417 20650 21535 25550 30149 34834 41300 43070 51100 60298 69668 86140 87085 107675 120596 121919 150745 174170 215350 243838 301490 348340 430700 435425 487676 602980 609595 753725 870850 1027603 1219190 1271441 1507450 1741700 2055206 2438380 2542882 3014900 3047975 4110412 5085764 5138015 6095950 6357205 7193221 8900087 10276030 12191900 12714410 14386442 17800174 20552060 25428820 25690075 28772884 31786025 35600348 35966105 44500435 51380150 63572050 71932210 75015019 89000870 102760300 127144100 143864420 150030038 178001740 179830525 222502175 300060076 359661050 375075095 445004350 525105133 719322100 750150190 890008700 1050210266 1500300380 1875375475 2100420532 2625525665 3750750950 5251051330 7501501900 10502102660 13127628325 26255256650 52510513300