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842056416 = 25322923807
BaseRepresentation
bin110010001100001…
…100001011100000
32011200110220020200
4302030030023200
53211031301131
6215320105200
726603234655
oct6214141340
92150426220
10842056416
113a23564a3
121b6005200
131055b9746
147db95c2c
154ddd32e6
hex3230c2e0

842056416 has 36 divisors (see below), whose sum is σ = 2394598752. Its totient is φ = 280685376.

The previous prime is 842056409. The next prime is 842056417. The reversal of 842056416 is 614650248.

842056416 is a `hidden beast` number, since 8 + 4 + 2 + 0 + 5 + 641 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (842056417) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1461616 + ... + 1462191.

It is an arithmetic number, because the mean of its divisors is an integer number (66516632).

Almost surely, 2842056416 is an apocalyptic number.

It is an amenable number.

842056416 is an abundant number, since it is smaller than the sum of its proper divisors (1552542336).

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

842056416 is a wasteful number, since it uses less digits than its factorization.

842056416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2923823 (or 2923812 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 842056416 is about 29018.2083526878. The cubic root of 842056416 is about 944.3081321988.

The spelling of 842056416 in words is "eight hundred forty-two million, fifty-six thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 2923807 5847614 8771421 11695228 17542842 23390456 26314263 35085684 46780912 52628526 70171368 93561824 105257052 140342736 210514104 280685472 421028208 842056416