Search a number
-
+
9750575025 = 32522922272
BaseRepresentation
bin10010001010010110…
…11111011110110001
3221011112102112101100
421011023133132301
5124432121400100
64251312355013
7463425343302
oct110513373661
927145375340
109750575025
114153a44374
121a81545a69
13bc5119729
14686d967a9
153c103e400
hex2452df7b1

9750575025 has 81 divisors (see below), whose sum is σ = 18167379841. Its totient is φ = 4998866880.

The previous prime is 9750574979. The next prime is 9750575071. The reversal of 9750575025 is 5205750579.

The square root of 9750575025 is 98745.

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

9750575025 is a `hidden beast` number, since 9 + 7 + 50 + 575 + 0 + 25 = 666.

It is an interprime number because it is at equal distance from previous prime (9750574979) and next prime (9750575071).

It can be written as a sum of positive squares in 4 ways, for example, as 134026929 + 9616548096 = 11577^2 + 98064^2 .

It is not a de Polignac number, because 9750575025 - 215 = 9750542257 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Duffinian number.

It is an unprimeable number.

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 80 ways as a sum of consecutive naturals, for example, 42953962 + ... + 42954188.

Almost surely, 29750575025 is an apocalyptic number.

9750575025 is the 98745-th square number.

9750575025 is the 49373-rd centered octagonal number.

It is an amenable number.

9750575025 is a deficient number, since it is larger than the sum of its proper divisors (8416804816).

9750575025 is a wasteful number, since it uses less digits than its factorization.

9750575025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 528 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 551250, while the sum is 45.

The cubic root of 9750575025 is about 2136.3713380671.

The spelling of 9750575025 in words is "nine billion, seven hundred fifty million, five hundred seventy-five thousand, twenty-five".

Divisors: 1 3 5 9 15 25 29 45 75 87 145 225 227 261 435 681 725 841 1135 1305 2043 2175 2523 3405 4205 5675 6525 6583 7569 10215 12615 17025 19749 21025 32915 37845 51075 51529 59247 63075 98745 154587 164575 189225 190907 257645 296235 463761 493725 572721 772935 954535 1288225 1481175 1494341 1718163 2318805 2863605 3864675 4483023 4772675 7471705 8590815 11594025 13449069 14318025 22415115 37358525 42954075 43335889 67245345 112075575 130007667 216679445 336226725 390023001 650038335 1083397225 1950115005 3250191675 9750575025