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2639328 = 253191447
BaseRepresentation
bin1010000100010111100000
311222002110220
422010113200
51133424303
6132323040
731301556
oct12042740
94862426
102639328
111542a6a
12a73480
13715443
144c9bd6
15372053
hex2845e0

2639328 has 48 divisors (see below), whose sum is σ = 7297920. Its totient is φ = 832896.

The previous prime is 2639323. The next prime is 2639333. The reversal of 2639328 is 8239362.

It is an interprime number because it is at equal distance from previous prime (2639323) and next prime (2639333).

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2639323) 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, 1101 + ... + 2547.

It is an arithmetic number, because the mean of its divisors is an integer number (152040).

22639328 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 2639328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3648960).

2639328 is an abundant number, since it is smaller than the sum of its proper divisors (4658592).

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

2639328 is a wasteful number, since it uses less digits than its factorization.

2639328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1479 (or 1471 counting only the distinct ones).

The product of its digits is 15552, while the sum is 33.

The square root of 2639328 is about 1624.6008740611. The cubic root of 2639328 is about 138.1967368263.

It can be divided in two parts, 263 and 9328, that added together give a triangular number (9591 = T138).

The spelling of 2639328 in words is "two million, six hundred thirty-nine thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 76 96 114 152 228 304 456 608 912 1447 1824 2894 4341 5788 8682 11576 17364 23152 27493 34728 46304 54986 69456 82479 109972 138912 164958 219944 329916 439888 659832 879776 1319664 2639328