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427024224 = 25341117881
BaseRepresentation
bin11001011100111…
…101111101100000
31002202112002010000
4121130331331200
51333304233344
6110212340000
713403434404
oct3134757540
91082462100
10427024224
111aa053690
12bb014600
136a613c73
14409db104
1527750a69
hex1973df60

427024224 has 240 divisors, whose sum is σ = 1452272976. Its totient is φ = 121651200.

The previous prime is 427024223. The next prime is 427024243. The reversal of 427024224 is 422420724.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (427024223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 484264 + ... + 485144.

Almost surely, 2427024224 is an apocalyptic number.

427024224 is a gapful number since it is divisible by the number (44) 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 427024224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (726136488).

427024224 is an abundant number, since it is smaller than the sum of its proper divisors (1025248752).

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

427024224 is a wasteful number, since it uses less digits than its factorization.

427024224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 931 (or 914 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 27.

The square root of 427024224 is about 20664.5644522211. The cubic root of 427024224 is about 753.0390608458.

Adding to 427024224 its reverse (422420724), we get a palindrome (849444948).

The spelling of 427024224 in words is "four hundred twenty-seven million, twenty-four thousand, two hundred twenty-four".