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842775440 = 24513810361
BaseRepresentation
bin110010001110111…
…011101110010000
32011201211102120012
4302032323232100
53211222303230
6215343334052
726612321153
oct6216735620
92151742505
10842775440
113a27a7731
121b62b1328
131057abac0
147dd01c9a
154dec6395
hex323bbb90

842775440 has 40 divisors (see below), whose sum is σ = 2110182648. Its totient is φ = 311178240.

The previous prime is 842775433. The next prime is 842775449. The reversal of 842775440 is 44577248.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 192321424 + 650454016 = 13868^2 + 25504^2 .

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

It is not an unprimeable number, because it can be changed into a prime (842775449) 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, 404141 + ... + 406220.

Almost surely, 2842775440 is an apocalyptic number.

842775440 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

842775440 is an abundant number, since it is smaller than the sum of its proper divisors (1267407208).

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

842775440 is a wasteful number, since it uses less digits than its factorization.

842775440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 810387 (or 810381 counting only the distinct ones).

The product of its (nonzero) digits is 250880, while the sum is 41.

The square root of 842775440 is about 29030.5948957303. The cubic root of 842775440 is about 944.5768343233.

The spelling of 842775440 in words is "eight hundred forty-two million, seven hundred seventy-five thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 208 260 520 1040 810361 1620722 3241444 4051805 6482888 8103610 10534693 12965776 16207220 21069386 32414440 42138772 52673465 64828880 84277544 105346930 168555088 210693860 421387720 842775440