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1055808936 = 2332713179479
BaseRepresentation
bin111110111011100…
…101110110101000
32201120200122120200
4332323211312220
54130241341221
6252433352200
735110141110
oct7673456650
92646618520
101055808936
114a1a81976
12255708660
1313a97a620
14a0318040
1562a57426
hex3eee5da8

1055808936 has 192 divisors, whose sum is σ = 3726777600. Its totient is φ = 262047744.

The previous prime is 1055808931. The next prime is 1055808959. The reversal of 1055808936 is 6398085501.

1055808936 is a `hidden beast` number, since 1 + 0 + 558 + 0 + 8 + 93 + 6 = 666.

It is a super-2 number, since 2×10558089362 = 2229465018674904192, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1055808891 and 1055808900.

It is not an unprimeable number, because it can be changed into a prime (1055808931) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 106645 + ... + 116123.

It is an arithmetic number, because the mean of its divisors is an integer number (19410300).

Almost surely, 21055808936 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 1055808936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1863388800).

1055808936 is an abundant number, since it is smaller than the sum of its proper divisors (2670968664).

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

1055808936 is a wasteful number, since it uses less digits than its factorization.

1055808936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9528 (or 9521 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 45.

The square root of 1055808936 is about 32493.2136914772. The cubic root of 1055808936 is about 1018.2672542080.

The spelling of 1055808936 in words is "one billion, fifty-five million, eight hundred eight thousand, nine hundred thirty-six".