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2972244 = 2231122389
BaseRepresentation
bin1011010101101001010100
312121000011010
423111221110
51230102434
6143412220
734156302
oct13255124
95530133
102972244
111750100
12bb4070
13800b32
14575272
153da9e9
hex2d5a54

2972244 has 72 divisors (see below), whose sum is σ = 8043840. Its totient is φ = 851840.

The previous prime is 2972219. The next prime is 2972251. The reversal of 2972244 is 4422792.

2972244 is digitally balanced in base 2 and base 5, because in such bases it contains all the possibile digits an equal number of times.

Its product of digits (8064) is a multiple of the sum of its prime divisors (128).

It is a congruent number.

It is an unprimeable number.

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, 33352 + ... + 33440.

It is an arithmetic number, because the mean of its divisors is an integer number (111720).

22972244 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 2972244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4021920).

2972244 is an abundant number, since it is smaller than the sum of its proper divisors (5071596).

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

2972244 is a wasteful number, since it uses less digits than its factorization.

2972244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 128 counting only the distinct ones).

The product of its digits is 8064, while the sum is 30.

The square root of 2972244 is about 1724.0197214649. The cubic root of 2972244 is about 143.7787884371.

The spelling of 2972244 in words is "two million, nine hundred seventy-two thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 11 12 22 23 33 44 46 66 69 89 92 121 132 138 178 242 253 267 276 356 363 484 506 534 726 759 979 1012 1068 1452 1518 1958 2047 2783 2937 3036 3916 4094 5566 5874 6141 8188 8349 10769 11132 11748 12282 16698 21538 22517 24564 32307 33396 43076 45034 64614 67551 90068 129228 135102 247687 270204 495374 743061 990748 1486122 2972244