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609420672 = 27377311
BaseRepresentation
bin100100010100110…
…000010110000000
31120110201210000000
4210110300112000
52222002430142
6140250000000
721046663440
oct4424602600
91513653000
10609420672
11293002853
12150116000
1399346863
145ad1a120
153877e14c
hex24530580

609420672 has 256 divisors, whose sum is σ = 2087654400. Its totient is φ = 173560320.

The previous prime is 609420671. The next prime is 609420689. The reversal of 609420672 is 276024906.

It is a happy number.

609420672 is a `hidden beast` number, since 609 + 42 + 0 + 6 + 7 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (609420671) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1959397 + ... + 1959707.

It is an arithmetic number, because the mean of its divisors is an integer number (8154900).

Almost surely, 2609420672 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 609420672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1043827200).

609420672 is an abundant number, since it is smaller than the sum of its proper divisors (1478233728).

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

609420672 is an frugal number, since it uses more digits than its factorization.

609420672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 353 (or 323 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 609420672 is about 24686.4471319791. The cubic root of 609420672 is about 847.8240408615.

The spelling of 609420672 in words is "six hundred nine million, four hundred twenty thousand, six hundred seventy-two".