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2806272 = 2933729
BaseRepresentation
bin1010101101001000000000
312021120111000
422231020000
51204300042
6140052000
732565360
oct12551000
95246430
102806272
111647437
12b34000
13773421
145309a0
153a674c
hex2ad200

2806272 has 160 divisors (see below), whose sum is σ = 9820800. Its totient is φ = 774144.

The previous prime is 2806267. The next prime is 2806277. The reversal of 2806272 is 2726082.

It is an interprime number because it is at equal distance from previous prime (2806267) and next prime (2806277).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (2806277) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 96754 + ... + 96782.

It is an arithmetic number, because the mean of its divisors is an integer number (61380).

22806272 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 2806272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4910400).

2806272 is an abundant number, since it is smaller than the sum of its proper divisors (7014528).

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

2806272 is an equidigital number, since it uses as much as digits as its factorization.

2806272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 2806272 is about 1675.1931231951. The cubic root of 2806272 is about 141.0511358211.

The spelling of 2806272 in words is "two million, eight hundred six thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 29 32 36 42 48 54 56 58 63 64 72 84 87 96 108 112 116 126 128 144 168 174 189 192 203 216 224 232 252 256 261 288 336 348 378 384 406 432 448 464 504 512 522 576 609 672 696 756 768 783 812 864 896 928 1008 1044 1152 1218 1344 1392 1512 1536 1566 1624 1728 1792 1827 1856 2016 2088 2304 2436 2688 2784 3024 3132 3248 3456 3584 3654 3712 4032 4176 4608 4872 5376 5481 5568 6048 6264 6496 6912 7308 7424 8064 8352 9744 10752 10962 11136 12096 12528 12992 13824 14616 14848 16128 16704 19488 21924 22272 24192 25056 25984 29232 32256 33408 38976 43848 44544 48384 50112 51968 58464 66816 77952 87696 96768 100224 103936 116928 133632 155904 175392 200448 233856 311808 350784 400896 467712 701568 935424 1403136 2806272