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2904825 = 352711503
BaseRepresentation
bin1011000101001011111001
312110120200010
423011023321
51220423300
6142132133
733455610
oct13051371
95416603
102904825
111704490
12b81049
137a9241
14558877
153c5a50
hex2c52f9

2904825 has 48 divisors (see below), whose sum is σ = 5999616. Its totient is φ = 1204800.

The previous prime is 2904821. The next prime is 2904827. The reversal of 2904825 is 5284092.

It is not a de Polignac number, because 2904825 - 22 = 2904821 is a prime.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is a Curzon number.

2904825 is a lucky number.

It is a zygodrome in base 14.

It is a junction number, because it is equal to n+sod(n) for n = 2904792 and 2904801.

It is not an unprimeable number, because it can be changed into a prime (2904821) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5524 + ... + 6026.

It is an arithmetic number, because the mean of its divisors is an integer number (124992).

22904825 is an apocalyptic number.

2904825 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2904825 is an abundant number, since it is smaller than the sum of its proper divisors (3094791).

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

2904825 is a wasteful number, since it uses less digits than its factorization.

2904825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 534 (or 529 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 2904825 is about 1704.3547166010. The cubic root of 2904825 is about 142.6833589178.

It can be divided in two parts, 290 and 4825, that added together give a palindrome (5115).

The spelling of 2904825 in words is "two million, nine hundred four thousand, eight hundred twenty-five".

Divisors: 1 3 5 7 11 15 21 25 33 35 55 75 77 105 165 175 231 275 385 503 525 825 1155 1509 1925 2515 3521 5533 5775 7545 10563 12575 16599 17605 27665 37725 38731 52815 82995 88025 116193 138325 193655 264075 414975 580965 968275 2904825