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5408400 = 243524507
BaseRepresentation
bin10100101000011010010000
3101011202221010
4110220122100
52341032100
6311530520
763653634
oct24503220
911152833
105408400
113064458
121989a40
13117494a
14a0adc4
1571c750
hex528690

5408400 has 60 divisors (see below), whose sum is σ = 17328752. Its totient is φ = 1441920.

The previous prime is 5408393. The next prime is 5408423. The reversal of 5408400 is 48045.

It is a tau number, because it is divible by the number of its divisors (60).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1054 + ... + 3453.

Almost surely, 25408400 is an apocalyptic number.

5408400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

5408400 is an abundant number, since it is smaller than the sum of its proper divisors (11920352).

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

5408400 is a wasteful number, since it uses less digits than its factorization.

5408400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4528 (or 4517 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 21.

The square root of 5408400 is about 2325.5966976241. The cubic root of 5408400 is about 175.5319866049.

The spelling of 5408400 in words is "five million, four hundred eight thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 150 200 240 300 400 600 1200 4507 9014 13521 18028 22535 27042 36056 45070 54084 67605 72112 90140 108168 112675 135210 180280 216336 225350 270420 338025 360560 450700 540840 676050 901400 1081680 1352100 1802800 2704200 5408400