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2826972 = 2232194133
BaseRepresentation
bin1010110010001011011100
312022121212200
422302023130
51210430342
6140331500
733012621
oct12621334
95277780
102826972
111660a45
12b43b90
1377c985
14538348
153ac94c
hex2b22dc

2826972 has 36 divisors (see below), whose sum is σ = 7523880. Its totient is φ = 892512.

The previous prime is 2826919. The next prime is 2826979. The reversal of 2826972 is 2796282.

2826972 is digitally balanced in base 2 and base 5, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2826979) 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 11 ways as a sum of consecutive naturals, for example, 1383 + ... + 2750.

22826972 is an apocalyptic number.

It is an amenable number.

2826972 is an abundant number, since it is smaller than the sum of its proper divisors (4696908).

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

2826972 is a wasteful number, since it uses less digits than its factorization.

2826972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4162 (or 4157 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The square root of 2826972 is about 1681.3601636770. The cubic root of 2826972 is about 141.3970999981.

It can be divided in two parts, 28 and 26972, that added together give a cube (27000 = 303).

The spelling of 2826972 in words is "two million, eight hundred twenty-six thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 114 171 228 342 684 4133 8266 12399 16532 24798 37197 49596 74394 78527 148788 157054 235581 314108 471162 706743 942324 1413486 2826972