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2823972 = 22317109127
BaseRepresentation
bin1010110001011100100100
312022110202120
422301130210
51210331342
6140305540
733001104
oct12613444
95273676
102823972
111659768
12b422b0
1377b4b8
14537204
153abaec
hex2b1724

2823972 has 48 divisors (see below), whose sum is σ = 7096320. Its totient is φ = 870912.

The previous prime is 2823971. The next prime is 2823973. The reversal of 2823972 is 2793282.

It is an interprime number because it is at equal distance from previous prime (2823971) and next prime (2823973).

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (2823971) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22173 + ... + 22299.

It is an arithmetic number, because the mean of its divisors is an integer number (147840).

22823972 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 2823972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3548160).

2823972 is an abundant number, since it is smaller than the sum of its proper divisors (4272348).

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

2823972 is a wasteful number, since it uses less digits than its factorization.

2823972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260 (or 258 counting only the distinct ones).

The product of its digits is 12096, while the sum is 33.

The square root of 2823972 is about 1680.4677920151. The cubic root of 2823972 is about 141.3470651386.

The spelling of 2823972 in words is "two million, eight hundred twenty-three thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 12 17 34 51 68 102 109 127 204 218 254 327 381 436 508 654 762 1308 1524 1853 2159 3706 4318 5559 6477 7412 8636 11118 12954 13843 22236 25908 27686 41529 55372 83058 166116 235331 470662 705993 941324 1411986 2823972