Search a number
-
+
542912544 = 253617372
BaseRepresentation
bin100000010111000…
…011000000100000
31101211120211000000
4200113003000200
52102441200134
6125512300000
716311452256
oct4027030040
91354524000
10542912544
11259507259
121319a1600
138862b535
14521665d6
15329e2e99
hex205c3020

542912544 has 252 divisors, whose sum is σ = 1743923034. Its totient is φ = 165722112.

The previous prime is 542912533. The next prime is 542912551. The reversal of 542912544 is 445219245.

It is a happy number.

542912544 is a `hidden beast` number, since 542 + 91 + 25 + 4 + 4 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 519292944 + 23619600 = 22788^2 + 4860^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 542912499 and 542912508.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 14673294 + ... + 14673330.

Almost surely, 2542912544 is an apocalyptic number.

542912544 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 542912544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (871961517).

542912544 is an abundant number, since it is smaller than the sum of its proper divisors (1201010490).

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

542912544 is an equidigital number, since it uses as much as digits as its factorization.

542912544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 59 counting only the distinct ones).

The product of its digits is 57600, while the sum is 36.

The square root of 542912544 is about 23300.4837718018. The cubic root of 542912544 is about 815.7867089594.

The spelling of 542912544 in words is "five hundred forty-two million, nine hundred twelve thousand, five hundred forty-four".