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842381056 = 2811389769
BaseRepresentation
bin110010001101011…
…011011100000000
32011201002101120101
4302031123130000
53211122143211
6215331052144
726606056306
oct6215333400
92151071511
10842381056
113a25583a0
121b6141054
131056a143a
147dc3c276
154de495c1
hex3235b700

842381056 has 72 divisors (see below), whose sum is σ = 1841439600. Its totient is φ = 381419520.

The previous prime is 842381053. The next prime is 842381069. The reversal of 842381056 is 650183248.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (842381053) 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, 1095040 + ... + 1095808.

It is an arithmetic number, because the mean of its divisors is an integer number (25575550).

Almost surely, 2842381056 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 842381056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (920719800).

842381056 is an abundant number, since it is smaller than the sum of its proper divisors (999058544).

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

842381056 is a wasteful number, since it uses less digits than its factorization.

842381056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1185 (or 1171 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 37.

The square root of 842381056 is about 29023.8015428717. The cubic root of 842381056 is about 944.4294703888.

The spelling of 842381056 in words is "eight hundred forty-two million, three hundred eighty-one thousand, fifty-six".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 256 352 389 704 769 778 1408 1538 1556 2816 3076 3112 4279 6152 6224 8459 8558 12304 12448 16918 17116 24608 24896 33836 34232 49216 49792 67672 68464 98432 99584 135344 136928 196864 270688 273856 299141 541376 547712 598282 1082752 1095424 1196564 2165504 2393128 3290551 4786256 6581102 9572512 13162204 19145024 26324408 38290048 52648816 76580096 105297632 210595264 421190528 842381056