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415034452 = 227431013413
BaseRepresentation
bin11000101111001…
…110110001010100
31001220221221020101
4120233032301110
51322222100302
6105103343444
713166506660
oct3057166124
91056857211
10415034452
111a3304588
12b6bb1b84
1367ca6821
143d1998a0
1526683287
hex18bcec54

415034452 has 48 divisors (see below), whose sum is σ = 858033792. Its totient is φ = 171964800.

The previous prime is 415034449. The next prime is 415034453. The reversal of 415034452 is 254430514.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 415034452.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (415034453) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 119898 + ... + 123310.

It is an arithmetic number, because the mean of its divisors is an integer number (17875704).

Almost surely, 2415034452 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 415034452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (429016896).

415034452 is an abundant number, since it is smaller than the sum of its proper divisors (442999340).

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

415034452 is a wasteful number, since it uses less digits than its factorization.

415034452 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3568 (or 3566 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 28.

The square root of 415034452 is about 20372.3943609974. The cubic root of 415034452 is about 745.9242328779.

Adding to 415034452 its reverse (254430514), we get a palindrome (669464966).

The spelling of 415034452 in words is "four hundred fifteen million, thirty-four thousand, four hundred fifty-two".

Divisors: 1 2 4 7 14 28 43 86 101 172 202 301 404 602 707 1204 1414 2828 3413 4343 6826 8686 13652 17372 23891 30401 47782 60802 95564 121604 146759 293518 344713 587036 689426 1027313 1378852 2054626 2412991 4109252 4825982 9651964 14822659 29645318 59290636 103758613 207517226 415034452