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9272025 = 325272292
BaseRepresentation
bin100011010111…
…101011011001
3122110001211100
4203113223121
54333201100
6530422013
7141545100
oct43275331
918401740
109272025
115263234
123131909
131bc8409
141335037
15c32400
hex8d7ad9

9272025 has 81 divisors (see below), whose sum is σ = 20007741. Its totient is φ = 4092480.

The previous prime is 9272017. The next prime is 9272033. The reversal of 9272025 is 5202729.

It is a happy number.

The square root of 9272025 is 3045.

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

It is an interprime number because it is at equal distance from previous prime (9272017) and next prime (9272033).

It can be written as a sum of positive squares in 4 ways, for example, as 127449 + 9144576 = 357^2 + 3024^2 .

It is not a de Polignac number, because 9272025 - 23 = 9272017 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 9272025.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 319711 + ... + 319739.

Almost surely, 29272025 is an apocalyptic number.

9272025 is the 3045-th square number.

9272025 is the 1523-rd centered octagonal number.

It is an amenable number.

9272025 is an abundant number, since it is smaller than the sum of its proper divisors (10735716).

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

9272025 is a wasteful number, since it uses less digits than its factorization.

9272025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 44 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The cubic root of 9272025 is about 210.0833002864.

The spelling of 9272025 in words is "nine million, two hundred seventy-two thousand, twenty-five".

Divisors: 1 3 5 7 9 15 21 25 29 35 45 49 63 75 87 105 145 147 175 203 225 245 261 315 435 441 525 609 725 735 841 1015 1225 1305 1421 1575 1827 2175 2205 2523 3045 3675 4205 4263 5075 5887 6525 7105 7569 9135 11025 12615 12789 15225 17661 21025 21315 29435 35525 37845 41209 45675 52983 63075 63945 88305 106575 123627 147175 189225 206045 264915 319725 370881 441525 618135 1030225 1324575 1854405 3090675 9272025