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2629488 = 243291889
BaseRepresentation
bin1010000001111101110000
311221120222110
422001331300
51133120423
6132205320
731231101
oct12017560
94846873
102629488
111536634
12a69840
13710b14
144c63a8
1536e193
hex281f70

2629488 has 40 divisors (see below), whose sum is σ = 7030800. Its totient is φ = 845824.

The previous prime is 2629483. The next prime is 2629499. The reversal of 2629488 is 8849262.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2629481) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 448 + ... + 2336.

It is an arithmetic number, because the mean of its divisors is an integer number (175770).

22629488 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 2629488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3515400).

2629488 is an abundant number, since it is smaller than the sum of its proper divisors (4401312).

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

2629488 is a wasteful number, since it uses less digits than its factorization.

2629488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1929 (or 1923 counting only the distinct ones).

The product of its digits is 55296, while the sum is 39.

The square root of 2629488 is about 1621.5696099767. The cubic root of 2629488 is about 138.0247802591.

The spelling of 2629488 in words is "two million, six hundred twenty-nine thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 29 48 58 87 116 174 232 348 464 696 1392 1889 3778 5667 7556 11334 15112 22668 30224 45336 54781 90672 109562 164343 219124 328686 438248 657372 876496 1314744 2629488