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415013352 = 233131970009
BaseRepresentation
bin11000101111001…
…001100111101000
31001220220212021220
4120233021213220
51322220411402
6105103102040
713166361315
oct3057114750
91056825256
10415013352
111a329a746
12b6ba1920
1367c9a040
143d191d0c
152667bdbc
hex18bc99e8

415013352 has 64 divisors (see below), whose sum is σ = 1176168000. Its totient is φ = 120973824.

The previous prime is 415013351. The next prime is 415013353. The reversal of 415013352 is 253310514.

It is an interprime number because it is at equal distance from previous prime (415013351) and next prime (415013353).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (415013351) 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, 29077 + ... + 40932.

It is an arithmetic number, because the mean of its divisors is an integer number (18377625).

Almost surely, 2415013352 is an apocalyptic number.

It is an amenable number.

415013352 is an abundant number, since it is smaller than the sum of its proper divisors (761154648).

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

415013352 is a wasteful number, since it uses less digits than its factorization.

415013352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70050 (or 70046 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 24.

The square root of 415013352 is about 20371.8764967786. The cubic root of 415013352 is about 745.9115919450.

Adding to 415013352 its reverse (253310514), we get a palindrome (668323866).

The spelling of 415013352 in words is "four hundred fifteen million, thirteen thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 13 19 24 26 38 39 52 57 76 78 104 114 152 156 228 247 312 456 494 741 988 1482 1976 2964 5928 70009 140018 210027 280036 420054 560072 840108 910117 1330171 1680216 1820234 2660342 2730351 3640468 3990513 5320684 5460702 7280936 7981026 10641368 10921404 15962052 17292223 21842808 31924104 34584446 51876669 69168892 103753338 138337784 207506676 415013352