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427047800 = 235219412741
BaseRepresentation
bin11001011101000…
…011101101111000
31002202120021110012
4121131003231320
51333311012200
6110213041052
713403563214
oct3135035570
91082507405
10427047800
111aa06a373
12bb026188
136a62190a
1440a05944
1527757a35
hex19743b78

427047800 has 96 divisors (see below), whose sum is σ = 1071025200. Its totient is φ = 157824000.

The previous prime is 427047779. The next prime is 427047827. The reversal of 427047800 is 8740724.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 154430 + ... + 157170.

Almost surely, 2427047800 is an apocalyptic number.

427047800 is a gapful number since it is divisible by the number (40) 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 427047800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (535512600).

427047800 is an abundant number, since it is smaller than the sum of its proper divisors (643977400).

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

427047800 is a wasteful number, since it uses less digits than its factorization.

427047800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2817 (or 2808 counting only the distinct ones).

The product of its (nonzero) digits is 12544, while the sum is 32.

The square root of 427047800 is about 20665.1348894702. The cubic root of 427047800 is about 753.0529190152.

The spelling of 427047800 in words is "four hundred twenty-seven million, forty-seven thousand, eight hundred".

Divisors: 1 2 4 5 8 10 19 20 25 38 40 41 50 76 82 95 100 152 164 190 200 205 328 380 410 475 760 779 820 950 1025 1558 1640 1900 2050 2741 3116 3800 3895 4100 5482 6232 7790 8200 10964 13705 15580 19475 21928 27410 31160 38950 52079 54820 68525 77900 104158 109640 112381 137050 155800 208316 224762 260395 274100 416632 449524 520790 548200 561905 899048 1041580 1123810 1301975 2083160 2135239 2247620 2603950 2809525 4270478 4495240 5207900 5619050 8540956 10415800 10676195 11238100 17081912 21352390 22476200 42704780 53380975 85409560 106761950 213523900 427047800