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2813250 = 235311231
BaseRepresentation
bin1010101110110101000010
312021221001110
422232311002
51210011000
6140144150
732624616
oct12566502
95257043
102813250
111651700
12b38056
1377665b
14533346
153a8850
hex2aed42

2813250 has 96 divisors (see below), whose sum is σ = 7967232. Its totient is φ = 660000.

The previous prime is 2813249. The next prime is 2813257. The reversal of 2813250 is 523182.

2813250 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (2813257) 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 47 ways as a sum of consecutive naturals, for example, 90735 + ... + 90765.

It is an arithmetic number, because the mean of its divisors is an integer number (82992).

22813250 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2813250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3983616).

2813250 is an abundant number, since it is smaller than the sum of its proper divisors (5153982).

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

2813250 is a wasteful number, since it uses less digits than its factorization.

2813250 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 2813250 is about 1677.2745750175. The cubic root of 2813250 is about 141.1679503641.

It can be divided in two parts, 28132 and 50, that added together give a palindrome (28182).

The spelling of 2813250 in words is "two million, eight hundred thirteen thousand, two hundred fifty".

Divisors: 1 2 3 5 6 10 11 15 22 25 30 31 33 50 55 62 66 75 93 110 121 125 150 155 165 186 242 250 275 310 330 341 363 375 465 550 605 682 726 750 775 825 930 1023 1210 1375 1550 1650 1705 1815 2046 2325 2750 3025 3410 3630 3751 3875 4125 4650 5115 6050 7502 7750 8250 8525 9075 10230 11253 11625 15125 17050 18150 18755 22506 23250 25575 30250 37510 42625 45375 51150 56265 85250 90750 93775 112530 127875 187550 255750 281325 468875 562650 937750 1406625 2813250