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414482101 = 1153739739
BaseRepresentation
bin11000101101000…
…111111010110101
31001212220212112221
4120231013322311
51322101411401
6105043442341
713162016425
oct3055077265
91055825487
10414482101
111a2a675a0
12b69863b1
1367b422a7
143d094485
15265c47a1
hex18b47eb5

414482101 has 16 divisors (see below), whose sum is σ = 467052480. Its totient is φ = 364590720.

The previous prime is 414482077. The next prime is 414482171. The reversal of 414482101 is 101284414.

It is a cyclic number.

It is not a de Polignac number, because 414482101 - 27 = 414481973 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414482171) 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 15 ways as a sum of consecutive naturals, for example, 37690 + ... + 47428.

It is an arithmetic number, because the mean of its divisors is an integer number (29190780).

Almost surely, 2414482101 is an apocalyptic number.

It is an amenable number.

414482101 is a deficient number, since it is larger than the sum of its proper divisors (52570379).

414482101 is a wasteful number, since it uses less digits than its factorization.

414482101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9876.

The product of its (nonzero) digits is 1024, while the sum is 25.

The square root of 414482101 is about 20358.8334881938. The cubic root of 414482101 is about 745.5931801140.

The spelling of 414482101 in words is "four hundred fourteen million, four hundred eighty-two thousand, one hundred one".

Divisors: 1 11 53 73 583 803 3869 9739 42559 107129 516167 710947 5677837 7820417 37680191 414482101