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4127240892 = 22317414710499
BaseRepresentation
bin1111011000000000…
…1011001010111100
3101122122010120010210
43312000023022330
531423033202032
61521313032420
7204163653165
oct36600131274
911578116123
104127240892
1118287a1195
12972255710
1350a0b2398
142b21d676c
1519250b2cc
hexf600b2bc

4127240892 has 96 divisors (see below), whose sum is σ = 10668672000. Its totient is φ = 1236244480.

The previous prime is 4127240891. The next prime is 4127240899. The reversal of 4127240892 is 2980427214.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 4127240892.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4127240891) 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, 387859 + ... + 398357.

It is an arithmetic number, because the mean of its divisors is an integer number (111132000).

Almost surely, 24127240892 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4127240892, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5334336000).

4127240892 is an abundant number, since it is smaller than the sum of its proper divisors (6541431108).

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

4127240892 is a wasteful number, since it uses less digits than its factorization.

4127240892 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10611 (or 10609 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 39.

The square root of 4127240892 is about 64243.6058452512. The cubic root of 4127240892 is about 1604.0575260824.

The spelling of 4127240892 in words is "four billion, one hundred twenty-seven million, two hundred forty thousand, eight hundred ninety-two".

Divisors: 1 2 3 4 6 12 17 34 41 47 51 68 82 94 102 123 141 164 188 204 246 282 492 564 697 799 1394 1598 1927 2091 2397 2788 3196 3854 4182 4794 5781 7708 8364 9588 10499 11562 20998 23124 31497 32759 41996 62994 65518 98277 125988 131036 178483 196554 356966 393108 430459 493453 535449 713932 860918 986906 1070898 1291377 1480359 1721836 1973812 2141796 2582754 2960718 5165508 5921436 7317803 8388701 14635606 16777402 20231573 21953409 25166103 29271212 33554804 40463146 43906818 50332206 60694719 80926292 87813636 100664412 121389438 242778876 343936741 687873482 1031810223 1375746964 2063620446 4127240892