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542101440 = 26351759563
BaseRepresentation
bin100000010011111…
…100111111000000
31101210001121101010
4200103330333000
52102234221230
6125443040520
716301533446
oct4023747700
91353047333
10542101440
11259002921
12131670140
13884062aa
1451dd4b96
15328d29b0
hex204fcfc0

542101440 has 224 divisors, whose sum is σ = 1856597760. Its totient is φ = 133513216.

The previous prime is 542101429. The next prime is 542101447. The reversal of 542101440 is 44101245.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (542101447) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 962599 + ... + 963161.

Almost surely, 2542101440 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 542101440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (928298880).

542101440 is an abundant number, since it is smaller than the sum of its proper divisors (1314496320).

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

542101440 is a wasteful number, since it uses less digits than its factorization.

542101440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 659 (or 649 counting only the distinct ones).

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

The square root of 542101440 is about 23283.0719622648. The cubic root of 542101440 is about 815.3802483723.

Adding to 542101440 its reverse (44101245), we get a palindrome (586202685).

The spelling of 542101440 in words is "five hundred forty-two million, one hundred one thousand, four hundred forty".