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609742848 = 21231113347
BaseRepresentation
bin100100010101111…
…111000000000000
31120111100010221110
4210111333000000
52222043232343
6140300523320
721052504641
oct4425770000
91514303843
10609742848
11293202910
12150250540
139942a3b0
145ada16c8
15387e4833
hex2457f000

609742848 has 208 divisors, whose sum is σ = 1915514496. Its totient is φ = 170065920.

The previous prime is 609742841. The next prime is 609742853. The reversal of 609742848 is 848247906.

It is a tau number, because it is divible by the number of its divisors (208).

It is a super-2 number, since 2×6097428482 = 743572681374302208, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 609742797 and 609742806.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (609742841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1757011 + ... + 1757357.

Almost surely, 2609742848 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 609742848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (957757248).

609742848 is an abundant number, since it is smaller than the sum of its proper divisors (1305771648).

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

609742848 is a wasteful number, since it uses less digits than its factorization.

609742848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 398 (or 376 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 48.

The square root of 609742848 is about 24692.9716316202. The cubic root of 609742848 is about 847.9734179397.

The spelling of 609742848 in words is "six hundred nine million, seven hundred forty-two thousand, eight hundred forty-eight".