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6442540 = 2251371349
BaseRepresentation
bin11000100100111000101100
3110010022111121
4120210320230
53122130130
6350030324
7105521626
oct30447054
913108447
106442540
113700415
1221a83a4
131447570
14bd9c16
15873d7a
hex624e2c

6442540 has 48 divisors (see below), whose sum is σ = 14817600. Its totient is φ = 2338560.

The previous prime is 6442531. The next prime is 6442559. The reversal of 6442540 is 452446.

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, 18286 + ... + 18634.

It is an arithmetic number, because the mean of its divisors is an integer number (308700).

Almost surely, 26442540 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 6442540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7408800).

6442540 is an abundant number, since it is smaller than the sum of its proper divisors (8375060).

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

6442540 is a wasteful number, since it uses less digits than its factorization.

6442540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 442 (or 440 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 25.

The square root of 6442540 is about 2538.2159088620. The cubic root of 6442540 is about 186.0740060844.

Adding to 6442540 its reverse (452446), we get a palindrome (6894986).

The spelling of 6442540 in words is "six million, four hundred forty-two thousand, five hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 65 71 130 142 260 284 349 355 698 710 923 1396 1420 1745 1846 3490 3692 4537 4615 6980 9074 9230 18148 18460 22685 24779 45370 49558 90740 99116 123895 247790 322127 495580 644254 1288508 1610635 3221270 6442540