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9752625 = 32538669
BaseRepresentation
bin100101001101…
…000000110001
3200100111002100
4211031000301
54444041000
6545011013
7145616211
oct45150061
920314070
109752625
115561323
123323a69
1320360ac
14141c241
15cc9a00
hex94d031

9752625 has 24 divisors (see below), whose sum is σ = 17582760. Its totient is φ = 5200800.

The previous prime is 9752623. The next prime is 9752627. The reversal of 9752625 is 5262579.

It is an interprime number because it is at equal distance from previous prime (9752623) and next prime (9752627).

It can be written as a sum of positive squares in 4 ways, for example, as 553536 + 9199089 = 744^2 + 3033^2 .

It is not a de Polignac number, because 9752625 - 21 = 9752623 is a prime.

It is a super-2 number, since 2×97526252 = 190227388781250, which contains 22 as substring.

It is an Ulam number.

It is a Curzon number.

9752625 is a lucky number.

It is a self number, because there is not a number n which added to its sum of digits gives 9752625.

It is not an unprimeable number, because it can be changed into a prime (9752623) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3210 + ... + 5459.

It is an arithmetic number, because the mean of its divisors is an integer number (732615).

Almost surely, 29752625 is an apocalyptic number.

It is an amenable number.

9752625 is a deficient number, since it is larger than the sum of its proper divisors (7830135).

9752625 is a wasteful number, since it uses less digits than its factorization.

9752625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8690 (or 8677 counting only the distinct ones).

The product of its digits is 37800, while the sum is 36.

The square root of 9752625 is about 3122.9193073149. The cubic root of 9752625 is about 213.6521045510.

It can be divided in two parts, 975 and 2625, that added together give a square (3600 = 602).

The spelling of 9752625 in words is "nine million, seven hundred fifty-two thousand, six hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 75 125 225 375 1125 8669 26007 43345 78021 130035 216725 390105 650175 1083625 1950525 3250875 9752625