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4265000082 = 234727332
BaseRepresentation
bin1111111000110110…
…1011110010010010
3102000020100110020000
43332031223302102
532213320000312
61543113430430
7210455621400
oct37615536222
912006313200
104265000082
111899532762
129b040b416
1352c7b67b5
142c6616470
1519e66dadc
hexfe36bc92

4265000082 has 90 divisors (see below), whose sum is σ = 11132233893. Its totient is φ = 1216909008.

The previous prime is 4265000071. The next prime is 4265000087. The reversal of 4265000082 is 2800005624.

4265000082 is a `hidden beast` number, since 4 + 2 + 650 + 0 + 0 + 0 + 8 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2754045441 + 1510954641 = 52479^2 + 38871^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=46179.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (4265000087) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 5818188 + ... + 5818920.

Almost surely, 24265000082 is an apocalyptic number.

4265000082 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 4265000082

4265000082 is an abundant number, since it is smaller than the sum of its proper divisors (6867233811).

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

4265000082 is an frugal number, since it uses more digits than its factorization.

4265000082 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1494 (or 745 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 4265000082 is about 65306.9680968272. The cubic root of 4265000082 is about 1621.7093274724.

The spelling of 4265000082 in words is "four billion, two hundred sixty-five million, eighty-two", and thus it is an aban number.

Divisors: 1 2 3 6 7 9 14 18 21 27 42 49 54 63 81 98 126 147 162 189 294 378 441 567 733 882 1134 1323 1466 2199 2646 3969 4398 5131 6597 7938 10262 13194 15393 19791 30786 35917 39582 46179 59373 71834 92358 107751 118746 138537 215502 277074 323253 415611 537289 646506 831222 969759 1074578 1611867 1939518 2909277 3223734 3761023 4835601 5818554 7522046 9671202 11283069 14506803 22566138 26327161 29013606 33849207 43520409 52654322 67698414 78981483 87040818 101547621 157962966 203095242 236944449 304642863 473888898 609285726 710833347 1421666694 2132500041 4265000082