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2668848 = 243713247
BaseRepresentation
bin1010001011100100110000
312000120222020
422023210300
51140400343
6133111440
731453620
oct12134460
95016866
102668848
111563166
12a88580
13725a00
144d6880
1537ab83
hex28b930

2668848 has 120 divisors (see below), whose sum is σ = 8713728. Its totient is φ = 688896.

The previous prime is 2668837. The next prime is 2668849. The reversal of 2668848 is 8488662.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a nude number because it is divisible by every one of its digits.

It is a d-powerful number, because it can be written as 219 + 63 + 66 + 8 + 83 + 42 + 87 .

Its product of digits (147456) is a multiple of the sum of its prime divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2668849) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 56761 + ... + 56807.

22668848 is an apocalyptic number.

2668848 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 2668848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4356864).

2668848 is an abundant number, since it is smaller than the sum of its proper divisors (6044880).

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

2668848 is a wasteful number, since it uses less digits than its factorization.

2668848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91 (or 72 counting only the distinct ones).

The product of its digits is 147456, while the sum is 42.

The square root of 2668848 is about 1633.6609195301. The cubic root of 2668848 is about 138.7100558664.

The spelling of 2668848 in words is "two million, six hundred sixty-eight thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 39 42 47 48 52 56 78 84 91 94 104 112 141 156 168 169 182 188 208 273 282 312 329 336 338 364 376 507 546 564 611 624 658 676 728 752 987 1014 1092 1128 1183 1222 1316 1352 1456 1833 1974 2028 2184 2256 2366 2444 2632 2704 3549 3666 3948 4056 4277 4368 4732 4888 5264 7098 7332 7896 7943 8112 8554 9464 9776 12831 14196 14664 15792 15886 17108 18928 23829 25662 28392 29328 31772 34216 47658 51324 55601 56784 63544 68432 95316 102648 111202 127088 166803 190632 205296 222404 333606 381264 444808 667212 889616 1334424 2668848