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427221344 = 25112335209
BaseRepresentation
bin11001011101101…
…110000101100000
31002202220002111202
4121131232011200
51333332040334
6110220500332
713405215164
oct3135560540
91082802452
10427221344
111aa1787a0
12bb0aa6a8
136a6828c4
1440a4cca4
152778e17e
hex1976e160

427221344 has 48 divisors (see below), whose sum is σ = 921669840. Its totient is φ = 193320960.

The previous prime is 427221341. The next prime is 427221349. The reversal of 427221344 is 443122724.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (427221341) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 79412 + ... + 84620.

It is an arithmetic number, because the mean of its divisors is an integer number (19201455).

Almost surely, 2427221344 is an apocalyptic number.

427221344 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 427221344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (460834920).

427221344 is an abundant number, since it is smaller than the sum of its proper divisors (494448496).

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

427221344 is a wasteful number, since it uses less digits than its factorization.

427221344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5463 (or 5455 counting only the distinct ones).

The product of its digits is 10752, while the sum is 29.

The square root of 427221344 is about 20669.3334193437. Note that the first 3 decimals coincide. The cubic root of 427221344 is about 753.1549139338.

The spelling of 427221344 in words is "four hundred twenty-seven million, two hundred twenty-one thousand, three hundred forty-four".

Divisors: 1 2 4 8 11 16 22 32 44 88 176 233 352 466 932 1864 2563 3728 5126 5209 7456 10252 10418 20504 20836 41008 41672 57299 82016 83344 114598 166688 229196 458392 916784 1213697 1833568 2427394 4854788 9709576 13350667 19419152 26701334 38838304 53402668 106805336 213610672 427221344