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2628992 = 27192347
BaseRepresentation
bin1010000001110110000000
311221120022002
422001312000
51133111432
6132203132
731226462
oct12016600
94846262
102628992
111536223
12a694a8
13710822
144c6132
1536de62
hex281d80

2628992 has 64 divisors (see below), whose sum is σ = 5875200. Its totient is φ = 1165824.

The previous prime is 2628979. The next prime is 2629001. The reversal of 2628992 is 2998262.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a d-powerful number, because it can be written as 28 + 6 + 218 + 86 + 93 + 94 + 221 .

It is a congruent number.

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, 55913 + ... + 55959.

It is an arithmetic number, because the mean of its divisors is an integer number (91800).

22628992 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 2628992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2937600).

2628992 is an abundant number, since it is smaller than the sum of its proper divisors (3246208).

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

2628992 is a wasteful number, since it uses less digits than its factorization.

2628992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 91 counting only the distinct ones).

The product of its digits is 31104, while the sum is 38.

The square root of 2628992 is about 1621.4166645252. The cubic root of 2628992 is about 138.0161011809.

The spelling of 2628992 in words is "two million, six hundred twenty-eight thousand, nine hundred ninety-two".

Divisors: 1 2 4 8 16 19 23 32 38 46 47 64 76 92 94 128 152 184 188 304 368 376 437 608 736 752 874 893 1081 1216 1472 1504 1748 1786 2162 2432 2944 3008 3496 3572 4324 6016 6992 7144 8648 13984 14288 17296 20539 27968 28576 34592 41078 55936 57152 69184 82156 114304 138368 164312 328624 657248 1314496 2628992