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842693840 = 24567157219
BaseRepresentation
bin110010001110100…
…111110011010000
32011201200021121222
4302032213303100
53211212200330
6215341504212
726611531232
oct6216476320
92151607558
10842693840
113a275139a
121b6272068
13105780911
147dcc0252
154deac0e5
hex323a7cd0

842693840 has 40 divisors (see below), whose sum is σ = 1988518560. Its totient is φ = 332044416.

The previous prime is 842693821. The next prime is 842693843. The reversal of 842693840 is 48396248.

842693840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 842693791 and 842693800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (842693843) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 73250 + ... + 83969.

It is an arithmetic number, because the mean of its divisors is an integer number (49712964).

Almost surely, 2842693840 is an apocalyptic number.

842693840 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

842693840 is an abundant number, since it is smaller than the sum of its proper divisors (1145824720).

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

842693840 is a wasteful number, since it uses less digits than its factorization.

842693840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157299 (or 157293 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 44.

The square root of 842693840 is about 29029.1894478644. The cubic root of 842693840 is about 944.5463477691.

The spelling of 842693840 in words is "eight hundred forty-two million, six hundred ninety-three thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 67 80 134 268 335 536 670 1072 1340 2680 5360 157219 314438 628876 786095 1257752 1572190 2515504 3144380 6288760 10533673 12577520 21067346 42134692 52668365 84269384 105336730 168538768 210673460 421346920 842693840