Search a number
-
+
43967799225 = 32527219972
BaseRepresentation
bin101000111100101011…
…110101111110111001
311012111012011121210100
4220330223311332321
51210021224033400
632110514310013
73114364061400
oct507453657671
9135435147710
1043967799225
1117712749359
128630888309
1341b910b35c
1421b153c637
151224eeb100
hexa3caf5fb9

43967799225 has 81 divisors (see below), whose sum is σ = 91654450797. Its totient is φ = 20089500480.

The previous prime is 43967799223. The next prime is 43967799247. The reversal of 43967799225 is 52299776934.

The square root of 43967799225 is 209685.

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 21258514809 + 22709284416 = 145803^2 + 150696^2 .

It is not a de Polignac number, because 43967799225 - 21 = 43967799223 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (43967799223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 22015927 + ... + 22017923.

Almost surely, 243967799225 is an apocalyptic number.

43967799225 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

43967799225 is the 209685-th square number.

43967799225 is the 104843-rd centered octagonal number.

It is an amenable number.

43967799225 is an abundant number, since it is smaller than the sum of its proper divisors (47686651572).

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

43967799225 is an equidigital number, since it uses as much as digits as its factorization.

43967799225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4024 (or 2012 counting only the distinct ones).

The product of its digits is 51438240, while the sum is 63.

The spelling of 43967799225 in words is "forty-three billion, nine hundred sixty-seven million, seven hundred ninety-nine thousand, two hundred twenty-five".

Divisors: 1 3 5 7 9 15 21 25 35 45 49 63 75 105 147 175 225 245 315 441 525 735 1225 1575 1997 2205 3675 5991 9985 11025 13979 17973 29955 41937 49925 69895 89865 97853 125811 149775 209685 293559 349475 449325 489265 629055 880677 1048425 1467795 2446325 3145275 3988009 4403385 7338975 11964027 19940045 22016925 27916063 35892081 59820135 83748189 99700225 139580315 179460405 195412441 251244567 299100675 418740945 586237323 697901575 897302025 977062205 1256222835 1758711969 2093704725 2931186615 4885311025 6281114175 8793559845 14655933075 43967799225