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4075284340 = 225376190281
BaseRepresentation
bin1111001011100111…
…1110011101110100
3101112000100220011001
43302321332131310
531321233044330
61512215253044
7202663226311
oct36271763564
911460326131
104075284340
111801434496
1295897a184
134cc3c056a
142a934dd08
1518cb969ca
hexf2e7e774

4075284340 has 48 divisors (see below), whose sum is σ = 8933584464. Its totient is φ = 1560038400.

The previous prime is 4075284299. The next prime is 4075284347. The reversal of 4075284340 is 434825704.

4075284340 is a nontrivial binomial coefficient, being equal to C(90281, 2).

It can be written as a sum of positive squares in 8 ways, for example, as 62315236 + 4012969104 = 7894^2 + 63348^2 .

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a self number, because there is not a number n which added to its sum of digits gives 4075284340.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4075284347) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1 + ... + 90280.

It is an arithmetic number, because the mean of its divisors is an integer number (186116343).

Almost surely, 24075284340 is an apocalyptic number.

4075284340 is the 90280-th triangular number.

4075284340 is the 30094-th centered nonagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4075284340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4466792232).

4075284340 is an abundant number, since it is smaller than the sum of its proper divisors (4858300124).

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

4075284340 is a wasteful number, since it uses less digits than its factorization.

4075284340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90388 (or 90386 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 37.

The square root of 4075284340 is about 63837.9537579331. The cubic root of 4075284340 is about 1597.2980883016.

The spelling of 4075284340 in words is "four billion, seventy-five million, two hundred eighty-four thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 37 61 74 122 148 185 244 305 370 610 740 1220 2257 4514 9028 11285 22570 45140 90281 180562 361124 451405 902810 1805620 3340397 5507141 6680794 11014282 13361588 16701985 22028564 27535705 33403970 55071410 66807940 110142820 203764217 407528434 815056868 1018821085 2037642170 4075284340