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542481408 = 2103372803
BaseRepresentation
bin100000010101011…
…001110000000000
31101210202220121000
4200111121300000
52102333401113
6125455132000
716305005310
oct4025316000
91353686530
10542481408
11259242347
12131814000
138850a221
1452093440
153295a373
hex20559c00

542481408 has 176 divisors, whose sum is σ = 1836732160. Its totient is φ = 154939392.

The previous prime is 542481397. The next prime is 542481413. The reversal of 542481408 is 804184245.

542481408 is a `hidden beast` number, since 5 + 4 + 248 + 1 + 408 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 192135 + ... + 194937.

Almost surely, 2542481408 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 542481408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (918366080).

542481408 is an abundant number, since it is smaller than the sum of its proper divisors (1294250752).

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

542481408 is a wasteful number, since it uses less digits than its factorization.

542481408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2839 (or 2815 counting only the distinct ones).

The product of its (nonzero) digits is 40960, while the sum is 36.

The square root of 542481408 is about 23291.2302809448. The cubic root of 542481408 is about 815.5707084486.

The spelling of 542481408 in words is "five hundred forty-two million, four hundred eighty-one thousand, four hundred eight".