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53834904 = 233219232959
BaseRepresentation
bin1100110101011…
…1010010011000
310202022002121100
43031113102120
5102240204104
65201511400
71222406034
oct315272230
9122262540
1053834904
112842aa62
1216042560
13b1cba96
1472151c4
154ad6139
hex3357498

53834904 has 192 divisors, whose sum is σ = 168480000. Its totient is φ = 15434496.

The previous prime is 53834897. The next prime is 53834947. The reversal of 53834904 is 40943835.

53834904 is a `hidden beast` number, since 538 + 34 + 90 + 4 = 666.

53834904 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 912427 + ... + 912485.

It is an arithmetic number, because the mean of its divisors is an integer number (877500).

Almost surely, 253834904 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 53834904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84240000).

53834904 is an abundant number, since it is smaller than the sum of its proper divisors (114645096).

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

53834904 is a wasteful number, since it uses less digits than its factorization.

53834904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 53834904 is about 7337.2272692074. The cubic root of 53834904 is about 377.5907218765.

The spelling of 53834904 in words is "fifty-three million, eight hundred thirty-four thousand, nine hundred four".