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2825004 = 2237132199
BaseRepresentation
bin1010110001101100101100
312022112011210
422301230230
51210400004
6140314420
733004110
oct12615454
95275153
102825004
11165a516
12b42a10
1377bb00
14537740
153ac089
hex2b1b2c

2825004 has 72 divisors (see below), whose sum is σ = 8198400. Its totient is φ = 741312.

The previous prime is 2825003. The next prime is 2825033. The reversal of 2825004 is 4005282.

2825004 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a zygodrome in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2825003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14097 + ... + 14295.

22825004 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2825004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4099200).

2825004 is an abundant number, since it is smaller than the sum of its proper divisors (5373396).

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

2825004 is a wasteful number, since it uses less digits than its factorization.

2825004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 21.

The square root of 2825004 is about 1680.7748213250. The cubic root of 2825004 is about 141.3642811268.

The spelling of 2825004 in words is "two million, eight hundred twenty-five thousand, four".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 52 78 84 91 156 169 182 199 273 338 364 398 507 546 597 676 796 1014 1092 1183 1194 1393 2028 2366 2388 2587 2786 3549 4179 4732 5174 5572 7098 7761 8358 10348 14196 15522 16716 18109 31044 33631 36218 54327 67262 72436 100893 108654 134524 201786 217308 235417 403572 470834 706251 941668 1412502 2825004