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2638468 = 2271723241
BaseRepresentation
bin1010000100001010000100
311222001022001
422010022010
51133412333
6132315044
731266220
oct12041204
94861261
102638468
111542358
12a72a84
13714c31
144c9780
15371b7d
hex284284

2638468 has 48 divisors (see below), whose sum is σ = 5854464. Its totient is φ = 1013760.

The previous prime is 2638411. The next prime is 2638469. The reversal of 2638468 is 8648362.

It is not an unprimeable number, because it can be changed into a prime (2638469) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10828 + ... + 11068.

It is an arithmetic number, because the mean of its divisors is an integer number (121968).

22638468 is an apocalyptic number.

2638468 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 2638468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2927232).

2638468 is an abundant number, since it is smaller than the sum of its proper divisors (3215996).

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

2638468 is a wasteful number, since it uses less digits than its factorization.

2638468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 292 (or 290 counting only the distinct ones).

The product of its digits is 55296, while the sum is 37.

The square root of 2638468 is about 1624.3361721023. The cubic root of 2638468 is about 138.1817251636.

The spelling of 2638468 in words is "two million, six hundred thirty-eight thousand, four hundred sixty-eight".

Divisors: 1 2 4 7 14 17 23 28 34 46 68 92 119 161 238 241 322 391 476 482 644 782 964 1564 1687 2737 3374 4097 5474 5543 6748 8194 10948 11086 16388 22172 28679 38801 57358 77602 94231 114716 155204 188462 376924 659617 1319234 2638468