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427381700 = 225217298669
BaseRepresentation
bin11001011110010…
…101001111000100
31002210012020110212
4121132111033010
51333402203300
6110224134552
713406453534
oct3136251704
91083166425
10427381700
111aa278219
12bb167458
136a70a8a5
1440a914c4
15277c1935
hex197953c4

427381700 has 72 divisors (see below), whose sum is σ = 1015950600. Its totient is φ = 155330560.

The previous prime is 427381693. The next prime is 427381727. The reversal of 427381700 is 7183724.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 65545216 + 361836484 = 8096^2 + 19022^2 .

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, 44966 + ... + 53634.

It is an arithmetic number, because the mean of its divisors is an integer number (14110425).

Almost surely, 2427381700 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 427381700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (507975300).

427381700 is an abundant number, since it is smaller than the sum of its proper divisors (588568900).

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

427381700 is a wasteful number, since it uses less digits than its factorization.

427381700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8729 (or 8722 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 32.

The square root of 427381700 is about 20673.2121355149. The cubic root of 427381700 is about 753.2491334788.

The spelling of 427381700 in words is "four hundred twenty-seven million, three hundred eighty-one thousand, seven hundred".

Divisors: 1 2 4 5 10 17 20 25 29 34 50 58 68 85 100 116 145 170 290 340 425 493 580 725 850 986 1450 1700 1972 2465 2900 4930 8669 9860 12325 17338 24650 34676 43345 49300 86690 147373 173380 216725 251401 294746 433450 502802 589492 736865 866900 1005604 1257005 1473730 2514010 2947460 3684325 4273817 5028020 6285025 7368650 8547634 12570050 14737300 17095268 21369085 25140100 42738170 85476340 106845425 213690850 427381700