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416832042 = 23116315637
BaseRepresentation
bin11000110110000…
…101101000101010
31002001100021001210
4120312011220222
51323202111132
6105210053550
713221004524
oct3066055052
91061307053
10416832042
111a43220a0
12b771a2b6
1368485aa3
143d506a14
15268dabcc
hex18d85a2a

416832042 has 16 divisors (see below), whose sum is σ = 909451872. Its totient is φ = 126312720.

The previous prime is 416832041. The next prime is 416832043. The reversal of 416832042 is 240238614.

It is an interprime number because it is at equal distance from previous prime (416832041) and next prime (416832043).

It is not an unprimeable number, because it can be changed into a prime (416832041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3157753 + ... + 3157884.

It is an arithmetic number, because the mean of its divisors is an integer number (56840742).

Almost surely, 2416832042 is an apocalyptic number.

416832042 is an abundant number, since it is smaller than the sum of its proper divisors (492619830).

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

416832042 is a wasteful number, since it uses less digits than its factorization.

416832042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6315653.

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 416832042 is about 20416.4649731534. The cubic root of 416832042 is about 746.9995931963. Note that the first 3 decimals are identical.

The spelling of 416832042 in words is "four hundred sixteen million, eight hundred thirty-two thousand, forty-two".

Divisors: 1 2 3 6 11 22 33 66 6315637 12631274 18946911 37893822 69472007 138944014 208416021 416832042