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427253304 = 233196011559
BaseRepresentation
bin11001011101110…
…101111000111000
31002202221201100110
4121131311320320
51333334101204
6110221304320
713405410312
oct3135657070
91082851313
10427253304
111aa19a805
12bb1050a0
136a69430a
1440a5a7b2
1527798889
hex19775e38

427253304 has 64 divisors (see below), whose sum is σ = 1126944000. Its totient is φ = 134611200.

The previous prime is 427253297. The next prime is 427253327. The reversal of 427253304 is 403352724.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 273277 + ... + 274835.

It is an arithmetic number, because the mean of its divisors is an integer number (17608500).

Almost surely, 2427253304 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 427253304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (563472000).

427253304 is an abundant number, since it is smaller than the sum of its proper divisors (699690696).

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

427253304 is a wasteful number, since it uses less digits than its factorization.

427253304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2188 (or 2184 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 30.

The square root of 427253304 is about 20670.1065309301. The cubic root of 427253304 is about 753.1736943866.

The spelling of 427253304 in words is "four hundred twenty-seven million, two hundred fifty-three thousand, three hundred four".

Divisors: 1 2 3 4 6 8 12 19 24 38 57 76 114 152 228 456 601 1202 1559 1803 2404 3118 3606 4677 4808 6236 7212 9354 11419 12472 14424 18708 22838 29621 34257 37416 45676 59242 68514 88863 91352 118484 137028 177726 236968 274056 355452 710904 936959 1873918 2810877 3747836 5621754 7495672 11243508 17802221 22487016 35604442 53406663 71208884 106813326 142417768 213626652 427253304