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4020135249 = 3131573671789
BaseRepresentation
bin1110111110011110…
…0110010101010001
3101101011121000211010
43233213212111101
531213123311444
61502525241133
7201423404634
oct35747462521
911334530733
104020135249
111783297129
129424031a9
134c0b51570
142a1cb5c1b
15187e012b9
hexef9e6551

4020135249 has 32 divisors (see below), whose sum is σ = 5828354560. Its totient is φ = 2450103552.

The previous prime is 4020135227. The next prime is 4020135257. The reversal of 4020135249 is 9425310204.

It is not a de Polignac number, because 4020135249 - 213 = 4020127057 is a prime.

It is a super-2 number, since 2×40201352492 = 32322974840504584002, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4020135289) 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 31 ways as a sum of consecutive naturals, for example, 2246247 + ... + 2248035.

It is an arithmetic number, because the mean of its divisors is an integer number (182136080).

Almost surely, 24020135249 is an apocalyptic number.

It is an amenable number.

4020135249 is a deficient number, since it is larger than the sum of its proper divisors (1808219311).

4020135249 is a wasteful number, since it uses less digits than its factorization.

4020135249 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2329.

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 4020135249 is about 63404.5365017362. The cubic root of 4020135249 is about 1590.0601547591.

The spelling of 4020135249 in words is "four billion, twenty million, one hundred thirty-five thousand, two hundred forty-nine".

Divisors: 1 3 13 39 157 367 471 1101 1789 2041 4771 5367 6123 14313 23257 57619 69771 172857 280873 656563 749047 842619 1969689 2247141 3651349 8535319 10954047 25605957 103080391 309241173 1340045083 4020135249