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2055648 = 253721923
BaseRepresentation
bin111110101110111100000
310212102211010
413311313200
51011240043
6112020520
723321100
oct7656740
93772733
102055648
111184491
12831740
1356c87a
143b7200
152a9133
hex1f5de0

2055648 has 144 divisors (see below), whose sum is σ = 6894720. Its totient is φ = 532224.

The previous prime is 2055637. The next prime is 2055649. The reversal of 2055648 is 8465502.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2055649) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 89365 + ... + 89387.

It is an arithmetic number, because the mean of its divisors is an integer number (47880).

22055648 is an apocalyptic number.

2055648 is a gapful number since it is divisible by the number (28) 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 2055648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3447360).

2055648 is an abundant number, since it is smaller than the sum of its proper divisors (4839072).

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

2055648 is a wasteful number, since it uses less digits than its factorization.

2055648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

The square root of 2055648 is about 1433.7531168231. The cubic root of 2055648 is about 127.1499664777.

The spelling of 2055648 in words is "two million, fifty-five thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 19 21 23 24 28 32 38 42 46 48 49 56 57 69 76 84 92 96 98 112 114 133 138 147 152 161 168 184 196 224 228 266 276 294 304 322 336 368 392 399 437 456 483 532 552 588 608 644 672 736 784 798 874 912 931 966 1064 1104 1127 1176 1288 1311 1568 1596 1748 1824 1862 1932 2128 2208 2254 2352 2576 2622 2793 3059 3192 3381 3496 3724 3864 4256 4508 4704 5152 5244 5586 6118 6384 6762 6992 7448 7728 9016 9177 10488 11172 12236 12768 13524 13984 14896 15456 18032 18354 20976 21413 22344 24472 27048 29792 36064 36708 41952 42826 44688 48944 54096 64239 73416 85652 89376 97888 108192 128478 146832 171304 256956 293664 342608 513912 685216 1027824 2055648