Search a number
-
+
427058200 = 235279151179
BaseRepresentation
bin11001011101000…
…110010000011000
31002202120210201101
4121131012100120
51333311330300
6110213201144
713403635432
oct3135062030
91082523641
10427058200
111aa077168
12bb0301b4
136a62657a
1440a09652
152775ab6a
hex19746418

427058200 has 96 divisors (see below), whose sum is σ = 1017792000. Its totient is φ = 166608000.

The previous prime is 427058197. The next prime is 427058209. The reversal of 427058200 is 2850724.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (427058209) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2385711 + ... + 2385889.

It is an arithmetic number, because the mean of its divisors is an integer number (10602000).

Almost surely, 2427058200 is an apocalyptic number.

427058200 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 427058200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (508896000).

427058200 is an abundant number, since it is smaller than the sum of its proper divisors (590733800).

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

427058200 is a wasteful number, since it uses less digits than its factorization.

427058200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 425 (or 416 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 28.

The square root of 427058200 is about 20665.3865194920. The cubic root of 427058200 is about 753.0590320598.

It can be divided in two parts, 42705 and 8200, that added together give a palindrome (50905).

The spelling of 427058200 in words is "four hundred twenty-seven million, fifty-eight thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 79 100 151 158 179 200 302 316 358 395 604 632 716 755 790 895 1208 1432 1510 1580 1790 1975 3020 3160 3580 3775 3950 4475 6040 7160 7550 7900 8950 11929 14141 15100 15800 17900 23858 27029 28282 30200 35800 47716 54058 56564 59645 70705 95432 108116 113128 119290 135145 141410 216232 238580 270290 282820 298225 353525 477160 540580 565640 596450 675725 707050 1081160 1192900 1351450 1414100 2135291 2385800 2702900 2828200 4270582 5405800 8541164 10676455 17082328 21352910 42705820 53382275 85411640 106764550 213529100 427058200