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427522720 = 25579149227
BaseRepresentation
bin11001011110110…
…111101010100000
31002210110101220211
4121132313222200
51333421211340
6110231143504
713410611632
oct3136675240
91083411824
10427522720
111aa364169
12bb214b94
136a759b31
1440acaa52
15277ed5ea
hex197b7aa0

427522720 has 96 divisors (see below), whose sum is σ = 1034208000. Its totient is φ = 166972416.

The previous prime is 427522687. The next prime is 427522759. The reversal of 427522720 is 27225724.

It is a super-2 number, since 2×4275227202 = 365551352232396800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1883247 + ... + 1883473.

It is an arithmetic number, because the mean of its divisors is an integer number (10773000).

Almost surely, 2427522720 is an apocalyptic number.

427522720 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 427522720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (517104000).

427522720 is an abundant number, since it is smaller than the sum of its proper divisors (606685280).

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

427522720 is a wasteful number, since it uses less digits than its factorization.

427522720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 470 (or 462 counting only the distinct ones).

The product of its (nonzero) digits is 15680, while the sum is 31.

The square root of 427522720 is about 20676.6225481823. The cubic root of 427522720 is about 753.3319723960.

The spelling of 427522720 in words is "four hundred twenty-seven million, five hundred twenty-two thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 79 80 149 158 160 227 298 316 395 454 596 632 745 790 908 1135 1192 1264 1490 1580 1816 2270 2384 2528 2980 3160 3632 4540 4768 5960 6320 7264 9080 11771 11920 12640 17933 18160 23542 23840 33823 35866 36320 47084 58855 67646 71732 89665 94168 117710 135292 143464 169115 179330 188336 235420 270584 286928 338230 358660 376672 470840 541168 573856 676460 717320 941680 1082336 1352920 1434640 1883360 2672017 2705840 2869280 5344034 5411680 10688068 13360085 21376136 26720170 42752272 53440340 85504544 106880680 213761360 427522720