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412982955 = 345711171941
BaseRepresentation
bin11000100111011…
…001111010101011
31001210002201010000
4120213121322223
51321210423310
6104551354043
713143203640
oct3047317253
91053081100
10412982955
111a2133230
12b6382923
1367738b18
143cbc3dc7
15263ca4c0
hex189d9eab

412982955 has 320 divisors, whose sum is σ = 1053803520. Its totient is φ = 149299200.

The previous prime is 412982861. The next prime is 412982957. The reversal of 412982955 is 559289214.

412982955 = T164 + T165 + ... + T1353.

It is a happy number.

It is not a de Polignac number, because 412982955 - 28 = 412982699 is a prime.

It is a super-2 number, since 2×4129829552 = 341109842241064050, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 412982955.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (412982957) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 10072735 + ... + 10072775.

It is an arithmetic number, because the mean of its divisors is an integer number (3293136).

Almost surely, 2412982955 is an apocalyptic number.

412982955 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

412982955 is an abundant number, since it is smaller than the sum of its proper divisors (640820565).

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

412982955 is a wasteful number, since it uses less digits than its factorization.

412982955 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 103 counting only the distinct ones).

The product of its digits is 259200, while the sum is 45.

The square root of 412982955 is about 20321.9820637653. The cubic root of 412982955 is about 744.6931787623.

It can be divided in two parts, 41298 and 2955, that added together give a triangular number (44253 = T297).

The spelling of 412982955 in words is "four hundred twelve million, nine hundred eighty-two thousand, nine hundred fifty-five".