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423190656 = 27347417
BaseRepresentation
bin11001001110010…
…110000010000000
31002111022022110000
4121032112002000
51331314100111
6105554240000
713326030000
oct3116260200
91074268400
10423190656
111a7975449
12b9886000
13698a1095
14402c0000
1527244c56
hex19396080

423190656 has 400 divisors, whose sum is σ = 1555647390. Its totient is φ = 113799168.

The previous prime is 423190633. The next prime is 423190661. The reversal of 423190656 is 656091324.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 311169600 + 112021056 = 17640^2 + 10584^2 .

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

It is a nialpdrome in base 12.

It is a self number, because there is not a number n which added to its sum of digits gives 423190656.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 49 ways as a sum of consecutive naturals, for example, 24893560 + ... + 24893576.

Almost surely, 2423190656 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 423190656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (777823695).

423190656 is an abundant number, since it is smaller than the sum of its proper divisors (1132456734).

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

423190656 is an frugal number, since it uses more digits than its factorization.

423190656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71 (or 29 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 423190656 is about 20571.5982850142. The cubic root of 423190656 is about 750.7788389333.

The spelling of 423190656 in words is "four hundred twenty-three million, one hundred ninety thousand, six hundred fifty-six".