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4040269695 = 3257114724809
BaseRepresentation
bin1111000011010001…
…1001111101111111
3101102120110222002100
43300310121331333
531233302112240
61504525000143
7202056503640
oct36064317577
911376428070
104040269695
111793699470
129490b3053
134c5080c37
142a48376c7
15189a7be30
hexf0d19f7f

4040269695 has 96 divisors (see below), whose sum is σ = 8917309440. Its totient is φ = 1643281920.

The previous prime is 4040269693. The next prime is 4040269729. The reversal of 4040269695 is 5969620404.

It is not a de Polignac number, because 4040269695 - 21 = 4040269693 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 4040269695.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4040269693) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 150451 + ... + 175259.

It is an arithmetic number, because the mean of its divisors is an integer number (92888640).

Almost surely, 24040269695 is an apocalyptic number.

4040269695 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

4040269695 is an abundant number, since it is smaller than the sum of its proper divisors (4877039745).

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

4040269695 is a wasteful number, since it uses less digits than its factorization.

4040269695 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24885 (or 24882 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The square root of 4040269695 is about 63563.1158377246. The cubic root of 4040269695 is about 1592.7102878699.

The spelling of 4040269695 in words is "four billion, forty million, two hundred sixty-nine thousand, six hundred ninety-five".

Divisors: 1 3 5 7 9 11 15 21 33 35 45 47 55 63 77 99 105 141 165 231 235 315 329 385 423 495 517 693 705 987 1155 1551 1645 2115 2585 2961 3465 3619 4653 4935 7755 10857 14805 18095 23265 24809 32571 54285 74427 124045 162855 173663 223281 272899 372135 520989 818697 868315 1116405 1166023 1364495 1562967 1910293 2456091 2604945 3498069 4093485 5730879 5830115 7814835 8162161 9551465 10494207 12280455 12826253 17192637 17490345 24486483 28654395 38478759 40810805 52471035 64131265 73459449 85963185 89783771 115436277 122432415 192393795 269351313 367297245 448918855 577181385 808053939 1346756565 4040269695