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1842442912 = 25417319237
BaseRepresentation
bin110110111010001…
…0111001010100000
311202101212210112101
41231310113022200
512233131133122
6502453540144
763441335452
oct15564271240
94671783471
101842442912
118660136a2
12435044654
1323493080b
141369a42d2
15abb3e027
hex6dd172a0

1842442912 has 48 divisors (see below), whose sum is σ = 3766877352. Its totient is φ = 886394880.

The previous prime is 1842442891. The next prime is 1842442913. The reversal of 1842442912 is 2192442481.

It can be written as a sum of positive squares in 4 ways, for example, as 795014416 + 1047428496 = 28196^2 + 32364^2 .

It is not an unprimeable number, because it can be changed into a prime (1842442913) 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, 86158 + ... + 105394.

Almost surely, 21842442912 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 1842442912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1883438676).

1842442912 is an abundant number, since it is smaller than the sum of its proper divisors (1924434440).

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

1842442912 is a wasteful number, since it uses less digits than its factorization.

1842442912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19361 (or 19353 counting only the distinct ones).

The product of its digits is 36864, while the sum is 37.

The square root of 1842442912 is about 42923.6870736893. The cubic root of 1842442912 is about 1225.9271974063.

The spelling of 1842442912 in words is "one billion, eight hundred forty-two million, four hundred forty-two thousand, nine hundred twelve".

Divisors: 1 2 4 8 16 32 41 73 82 146 164 292 328 584 656 1168 1312 2336 2993 5986 11972 19237 23944 38474 47888 76948 95776 153896 307792 615584 788717 1404301 1577434 2808602 3154868 5617204 6309736 11234408 12619472 22468816 25238944 44937632 57576341 115152682 230305364 460610728 921221456 1842442912