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542440400 = 24521356101
BaseRepresentation
bin100000010101001…
…111101111010000
31101210200211100012
4200111033233100
52102331043100
6125454214052
716304444615
oct4025175720
91353624305
10542440400
11259214557
121317b4328
13884c4668
145208250c
153294d135
hex2054fbd0

542440400 has 30 divisors (see below), whose sum is σ = 1303214022. Its totient is φ = 216976000.

The previous prime is 542440357. The next prime is 542440417. The reversal of 542440400 is 4044245.

It can be written as a sum of positive squares in 3 ways, for example, as 1784896 + 540655504 = 1336^2 + 23252^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 677651 + ... + 678450.

Almost surely, 2542440400 is an apocalyptic number.

542440400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

542440400 is an abundant number, since it is smaller than the sum of its proper divisors (760773622).

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

542440400 is a wasteful number, since it uses less digits than its factorization.

542440400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1356119 (or 1356108 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 23.

The square root of 542440400 is about 23290.3499329658. The cubic root of 542440400 is about 815.5501573502.

Adding to 542440400 its reverse (4044245), we get a palindrome (546484645).

The spelling of 542440400 in words is "five hundred forty-two million, four hundred forty thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 1356101 2712202 5424404 6780505 10848808 13561010 21697616 27122020 33902525 54244040 67805050 108488080 135610100 271220200 542440400