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4087520442 = 233972513109
BaseRepresentation
bin1111001110100010…
…1001110010111010
3101112212101112221000
43303220221302322
531332401123232
61513333425430
7203202231135
oct36350516272
911485345830
104087520442
111808331675
12960a9b276
13501ab5b65
142aac1721c
1518dcb227c
hexf3a29cba

4087520442 has 64 divisors (see below), whose sum is σ = 9216547200. Its totient is φ = 1342656000.

The previous prime is 4087520401. The next prime is 4087520473. The reversal of 4087520442 is 2440257804.

4087520442 is a `hidden beast` number, since 408 + 7 + 5 + 204 + 42 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 4087520397 and 4087520406.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1313184 + ... + 1316292.

It is an arithmetic number, because the mean of its divisors is an integer number (144008550).

Almost surely, 24087520442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4087520442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4608273600).

4087520442 is an abundant number, since it is smaller than the sum of its proper divisors (5129026758).

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

4087520442 is a wasteful number, since it uses less digits than its factorization.

4087520442 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3468 (or 3462 counting only the distinct ones).

The product of its (nonzero) digits is 71680, while the sum is 36.

The square root of 4087520442 is about 63933.7191316132. The cubic root of 4087520442 is about 1598.8951280973.

The spelling of 4087520442 in words is "four billion, eighty-seven million, five hundred twenty thousand, four hundred forty-two".

Divisors: 1 2 3 6 9 18 27 54 97 194 251 291 502 582 753 873 1506 1746 2259 2619 3109 4518 5238 6218 6777 9327 13554 18654 24347 27981 48694 55962 73041 83943 146082 167886 219123 301573 438246 603146 657369 780359 904719 1314738 1560718 1809438 2341077 2714157 4682154 5428314 7023231 8142471 14046462 16284942 21069693 42139386 75694823 151389646 227084469 454168938 681253407 1362506814 2043760221 4087520442