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2975625 = 3254232
BaseRepresentation
bin1011010110011110001001
312121011210100
423112132021
51230210000
6143440013
734202202
oct13263611
95534710
102975625
1117526a4
12bb6009
13802533
145765a9
153dba00
hex2d6789

2975625 has 45 divisors (see below), whose sum is σ = 5614609. Its totient is φ = 1518000.

The previous prime is 2975593. The next prime is 2975639. The reversal of 2975625 is 5265792.

The square root of 2975625 is 1725.

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

2975625 is a `hidden beast` number, since 2 + 97 + 562 + 5 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 233289 + 2742336 = 483^2 + 1656^2 .

It is a tau number, because it is divible by the number of its divisors (45).

It is not a de Polignac number, because 2975625 - 25 = 2975593 is a prime.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

Its product of digits (37800) is a multiple of the sum of its prime factors (72).

It is a self number, because there is not a number n which added to its sum of digits gives 2975625.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 129364 + ... + 129386.

22975625 is an apocalyptic number.

2975625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

2975625 is the 1725-th square number.

2975625 is the 863-rd centered octagonal number.

It is an amenable number.

2975625 is a deficient number, since it is larger than the sum of its proper divisors (2638984).

2975625 is an equidigital number, since it uses as much as digits as its factorization.

2975625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72 (or 31 counting only the distinct ones).

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

The cubic root of 2975625 is about 143.8332850708.

Multiplying 2975625 by its sum of digits (36), we get a square (107122500 = 103502).

It can be divided in two parts, 2975 and 625, that added together give a square (3600 = 602).

The spelling of 2975625 in words is "two million, nine hundred seventy-five thousand, six hundred twenty-five".

Divisors: 1 3 5 9 15 23 25 45 69 75 115 125 207 225 345 375 529 575 625 1035 1125 1587 1725 1875 2645 2875 4761 5175 5625 7935 8625 13225 14375 23805 25875 39675 43125 66125 119025 129375 198375 330625 595125 991875 2975625