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427709700 = 2233521114401
BaseRepresentation
bin11001011111100…
…101010100000100
31002210210220102000
4121133211110010
51333443202300
6110235145300
713412321025
oct3137452404
91083726360
10427709700
111aa4816a0
12bb2a5230
136a7c3c82
1440b38c4c
1527838c00
hex197e5504

427709700 has 144 divisors (see below), whose sum is σ = 1500112320. Its totient is φ = 103680000.

The previous prime is 427709699. The next prime is 427709747. The reversal of 427709700 is 7907724.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22500 + ... + 36900.

Almost surely, 2427709700 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 427709700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (750056160).

427709700 is an abundant number, since it is smaller than the sum of its proper divisors (1072402620).

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

427709700 is a wasteful number, since it uses less digits than its factorization.

427709700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14435 (or 14422 counting only the distinct ones).

The product of its (nonzero) digits is 24696, while the sum is 36.

The square root of 427709700 is about 20681.1435854017. The cubic root of 427709700 is about 753.4417813609.

The spelling of 427709700 in words is "four hundred twenty-seven million, seven hundred nine thousand, seven hundred".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 25 27 30 33 36 44 45 50 54 55 60 66 75 90 99 100 108 110 132 135 150 165 180 198 220 225 270 275 297 300 330 396 450 495 540 550 594 660 675 825 900 990 1100 1188 1350 1485 1650 1980 2475 2700 2970 3300 4950 5940 7425 9900 14401 14850 28802 29700 43203 57604 72005 86406 129609 144010 158411 172812 216015 259218 288020 316822 360025 388827 432030 475233 518436 633644 648045 720050 777654 792055 864060 950466 1080075 1296090 1425699 1440100 1555308 1584110 1900932 1944135 2160150 2376165 2592180 2851398 3168220 3240225 3888270 3960275 4277097 4320300 4752330 5702796 6480450 7128495 7776540 7920550 8554194 9504660 9720675 11880825 12960900 14256990 15841100 17108388 19441350 21385485 23761650 28513980 35642475 38882700 42770970 47523300 71284950 85541940 106927425 142569900 213854850 427709700