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427044600 = 233252673541
BaseRepresentation
bin11001011101000…
…010111011111000
31002202120010001200
4121131002323320
51333310411400
6110213014200
713403550663
oct3135027370
91082503050
10427044600
111aa067a24
12bb024360
136a620318
1440a046da
1527756b00
hex19742ef8

427044600 has 144 divisors (see below), whose sum is σ = 1455974520. Its totient is φ = 112147200.

The previous prime is 427044599. The next prime is 427044601. The reversal of 427044600 is 6440724.

It is an interprime number because it is at equal distance from previous prime (427044599) and next prime (427044601).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (427044601) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 118830 + ... + 122370.

Almost surely, 2427044600 is an apocalyptic number.

427044600 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 427044600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (727987260).

427044600 is an abundant number, since it is smaller than the sum of its proper divisors (1028929920).

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

427044600 is a wasteful number, since it uses less digits than its factorization.

427044600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3630 (or 3618 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

The square root of 427044600 is about 20665.0574642317. The cubic root of 427044600 is about 753.0510380584.

The spelling of 427044600 in words is "four hundred twenty-seven million, forty-four thousand, six hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 67 72 75 90 100 120 134 150 180 200 201 225 268 300 335 360 402 450 536 600 603 670 804 900 1005 1206 1340 1608 1675 1800 2010 2412 2680 3015 3350 3541 4020 4824 5025 6030 6700 7082 8040 10050 10623 12060 13400 14164 15075 17705 20100 21246 24120 28328 30150 31869 35410 40200 42492 53115 60300 63738 70820 84984 88525 106230 120600 127476 141640 159345 177050 212460 237247 254952 265575 318690 354100 424920 474494 531150 637380 708200 711741 796725 948988 1062300 1186235 1274760 1423482 1593450 1897976 2124600 2135223 2372470 2846964 3186900 3558705 4270446 4744940 5693928 5931175 6373800 7117410 8540892 9489880 10676115 11862350 14234820 17081784 17793525 21352230 23724700 28469640 35587050 42704460 47449400 53380575 71174100 85408920 106761150 142348200 213522300 427044600