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2629068 = 2231319887
BaseRepresentation
bin1010000001110111001100
311221120101220
422001313030
51133112233
6132203340
731226631
oct12016714
94846356
102629068
111536292
12a69550
13710880
144c6188
1536deb3
hex281dcc

2629068 has 48 divisors (see below), whose sum is σ = 6961920. Its totient is φ = 765504.

The previous prime is 2629057. The next prime is 2629073. The reversal of 2629068 is 8609262.

It is a zygodrome in base 5.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2521 + ... + 3407.

It is an arithmetic number, because the mean of its divisors is an integer number (145040).

22629068 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 2629068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3480960).

2629068 is an abundant number, since it is smaller than the sum of its proper divisors (4332852).

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

2629068 is a wasteful number, since it uses less digits than its factorization.

2629068 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 926 (or 924 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 2629068 is about 1621.4401006513. The cubic root of 2629068 is about 138.0174311105.

The spelling of 2629068 in words is "two million, six hundred twenty-nine thousand, sixty-eight".

Divisors: 1 2 3 4 6 12 13 19 26 38 39 52 57 76 78 114 156 228 247 494 741 887 988 1482 1774 2661 2964 3548 5322 10644 11531 16853 23062 33706 34593 46124 50559 67412 69186 101118 138372 202236 219089 438178 657267 876356 1314534 2629068