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3082752 = 2933223
BaseRepresentation
bin1011110000101000000000
312210121202000
423300220000
51242122002
6150024000
735126421
oct13605000
95717660
103082752
111816132
121048000
1383c21a
145a3648
1540d61c
hex2f0a00

3082752 has 80 divisors (see below), whose sum is σ = 9166080. Its totient is φ = 1022976.

The previous prime is 3082747. The next prime is 3082771. The reversal of 3082752 is 2572803.

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

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 13713 + ... + 13935.

It is an arithmetic number, because the mean of its divisors is an integer number (114576).

Almost surely, 23082752 is an apocalyptic number.

3082752 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3082752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4583040).

3082752 is an abundant number, since it is smaller than the sum of its proper divisors (6083328).

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

3082752 is an equidigital number, since it uses as much as digits as its factorization.

3082752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 3082752 is about 1755.7767511845. The cubic root of 3082752 is about 145.5390478682.

The spelling of 3082752 in words is "three million, eighty-two thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 223 256 288 384 432 446 512 576 669 768 864 892 1152 1338 1536 1728 1784 2007 2304 2676 3456 3568 4014 4608 5352 6021 6912 7136 8028 10704 12042 13824 14272 16056 21408 24084 28544 32112 42816 48168 57088 64224 85632 96336 114176 128448 171264 192672 256896 342528 385344 513792 770688 1027584 1541376 3082752