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4050145350 = 23252312271279
BaseRepresentation
bin1111000101101000…
…0101000001000110
3101110021001200221100
43301122011001012
531243314122400
61505520400530
7202236444636
oct36132050106
911407050840
104050145350
111799224169
12950476146
134c712b014
142a5c886c6
1518a87d100
hexf1685046

4050145350 has 144 divisors (see below), whose sum is σ = 11290705920. Its totient is φ = 1039780800.

The previous prime is 4050145327. The next prime is 4050145357. The reversal of 4050145350 is 535410504.

It is a super-2 number, since 2×40501453502 = 32807354712253245000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4050145357) 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 71 ways as a sum of consecutive naturals, for example, 3166011 + ... + 3167289.

It is an arithmetic number, because the mean of its divisors is an integer number (78407680).

Almost surely, 24050145350 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4050145350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5645352960).

4050145350 is an abundant number, since it is smaller than the sum of its proper divisors (7240560570).

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

4050145350 is a wasteful number, since it uses less digits than its factorization.

4050145350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1555 (or 1547 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

The square root of 4050145350 is about 63640.7522739950. The cubic root of 4050145350 is about 1594.0069223635.

Adding to 4050145350 its reverse (535410504), we get a palindrome (4585555854).

The spelling of 4050145350 in words is "four billion, fifty million, one hundred forty-five thousand, three hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 31 45 50 62 75 90 93 150 155 186 225 227 279 310 450 454 465 558 681 775 930 1135 1279 1362 1395 1550 2043 2270 2325 2558 2790 3405 3837 4086 4650 5675 6395 6810 6975 7037 7674 10215 11350 11511 12790 13950 14074 17025 19185 20430 21111 23022 31975 34050 35185 38370 39649 42222 51075 57555 63333 63950 70370 79298 95925 102150 105555 115110 118947 126666 175925 191850 198245 211110 237894 287775 290333 316665 351850 356841 396490 527775 575550 580666 594735 633330 713682 870999 991225 1055550 1189470 1451665 1583325 1741998 1784205 1982450 2612997 2903330 2973675 3166650 3568410 4354995 5225994 5947350 7258325 8709990 8921025 9000323 13064985 14516650 17842050 18000646 21774975 26129970 27000969 43549950 45001615 54001938 65324925 81002907 90003230 130649850 135004845 162005814 225008075 270009690 405014535 450016150 675024225 810029070 1350048450 2025072675 4050145350