53742000 has 240 divisors, whose sum is σ = 191157408. Its totient is φ = 12979200.

The previous prime is 53741971. The next prime is 53742043. The reversal of 53742000 is 24735.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1013974 + ... + 1014026.

Almost surely, 2^53742000 is an apocalyptic number.

53742000 is a gapful number since it is divisible by the number (50) 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 53742000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95578704).

53742000 is an abundant number, since it is smaller than the sum of its proper divisors (137415408).

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

53742000 is a wasteful number, since it uses less digits than its factorization.

53742000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 21.

The square root of 53742000 is about 7330.8935335333. The cubic root of 53742000 is about 377.3733914556.

Adding to 53742000 its reverse (24735), we get a palindrome (53766735).

The spelling of 53742000 in words is "fifty-three million, seven hundred forty-two thousand".