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4087152072 = 23322310922643
BaseRepresentation
bin1111001110011100…
…1111110111001000
3101112211200211121200
43303213033313020
531332302331242
61513321504200
7203166135153
oct36347176710
911484624550
104087152072
1118080aa933
12960942060
135019b72a3
142aab5cc9a
1518dc3d04c
hexf39cfdc8

4087152072 has 96 divisors (see below), whose sum is σ = 11657131200. Its totient is φ = 1291137408.

The previous prime is 4087152071. The next prime is 4087152077. The reversal of 4087152072 is 2702517804.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (4087152071) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 169183 + ... + 191825.

It is an arithmetic number, because the mean of its divisors is an integer number (121428450).

Almost surely, 24087152072 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 4087152072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5828565600).

4087152072 is an abundant number, since it is smaller than the sum of its proper divisors (7569979128).

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

4087152072 is a wasteful number, since it uses less digits than its factorization.

4087152072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22787 (or 22780 counting only the distinct ones).

The product of its (nonzero) digits is 31360, while the sum is 36.

The square root of 4087152072 is about 63930.8381925343. The cubic root of 4087152072 is about 1598.8470954982.

Adding to 4087152072 its reverse (2702517804), we get a palindrome (6789669876).

The spelling of 4087152072 in words is "four billion, eighty-seven million, one hundred fifty-two thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 36 46 69 72 92 109 138 184 207 218 276 327 414 436 552 654 828 872 981 1308 1656 1962 2507 2616 3924 5014 7521 7848 10028 15042 20056 22563 22643 30084 45126 45286 60168 67929 90252 90572 135858 180504 181144 203787 271716 407574 520789 543432 815148 1041578 1562367 1630296 2083156 2468087 3124734 4166312 4687101 4936174 6249468 7404261 9374202 9872348 12498936 14808522 18748404 19744696 22212783 29617044 37496808 44425566 56766001 59234088 88851132 113532002 170298003 177702264 227064004 340596006 454128008 510894009 681192012 1021788018 1362384024 2043576036 4087152072