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4012097082 = 237677319531
BaseRepresentation
bin1110111100100011…
…1011111000111010
3101100121110122112020
43233020323320322
531204044101312
61502041055310
7201265156020
oct35710737072
911317418466
104012097082
1117797a6a14
1293b787536
134bc298956
142a0bc2710
1518736478c
hexef23be3a

4012097082 has 64 divisors (see below), whose sum is σ = 9435362304. Its totient is φ = 1113678720.

The previous prime is 4012097003. The next prime is 4012097083. The reversal of 4012097082 is 2807902104.

It is a happy number.

It is a super-3 number, since 3×40120970823 (a number of 30 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (4012097083) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 195657 + ... + 215187.

It is an arithmetic number, because the mean of its divisors is an integer number (147427536).

Almost surely, 24012097082 is an apocalyptic number.

4012097082 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 4012097082, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4717681152).

4012097082 is an abundant number, since it is smaller than the sum of its proper divisors (5423265222).

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

4012097082 is a wasteful number, since it uses less digits than its factorization.

4012097082 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19683.

The product of its (nonzero) digits is 8064, while the sum is 33.

The square root of 4012097082 is about 63341.1168357490. The cubic root of 4012097082 is about 1588.9996848746. Note that the first 3 decimals are identical.

Adding to 4012097082 its reverse (2807902104), we get a palindrome (6819999186).

The spelling of 4012097082 in words is "four billion, twelve million, ninety-seven thousand, eighty-two".

Divisors: 1 2 3 6 7 14 21 42 67 73 134 146 201 219 402 438 469 511 938 1022 1407 1533 2814 3066 4891 9782 14673 19531 29346 34237 39062 58593 68474 102711 117186 136717 205422 273434 410151 820302 1308577 1425763 2617154 2851526 3925731 4277289 7851462 8554578 9160039 9980341 18320078 19960682 27480117 29941023 54960234 59882046 95526121 191052242 286578363 573156726 668682847 1337365694 2006048541 4012097082