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2972925 = 325273181
BaseRepresentation
bin1011010101110011111101
312121001002100
423111303331
51230113200
6143415313
734161264
oct13256375
95531070
102972925
11175066a
12bb4539
13801237
145755db
153dad00
hex2d5cfd

2972925 has 36 divisors (see below), whose sum is σ = 5427604. Its totient is φ = 1555200.

The previous prime is 2972903. The next prime is 2972939. The reversal of 2972925 is 5292792.

It can be written as a sum of positive squares in 6 ways, for example, as 558009 + 2414916 = 747^2 + 1554^2 .

It is not a de Polignac number, because 2972925 - 216 = 2907389 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 (22680) is a multiple of the sum of its prime factors (270).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 2972925.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 16335 + ... + 16515.

22972925 is an apocalyptic number.

2972925 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2972925 is a deficient number, since it is larger than the sum of its proper divisors (2454679).

2972925 is a wasteful number, since it uses less digits than its factorization.

2972925 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270 (or 262 counting only the distinct ones).

The product of its digits is 22680, while the sum is 36.

The square root of 2972925 is about 1724.2172136944. The cubic root of 2972925 is about 143.7897684551.

The spelling of 2972925 in words is "two million, nine hundred seventy-two thousand, nine hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 73 75 181 219 225 365 543 657 905 1095 1629 1825 2715 3285 4525 5475 8145 13213 13575 16425 39639 40725 66065 118917 198195 330325 594585 990975 2972925