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4005542706 = 23111371393187
BaseRepresentation
bin1110111010111111…
…1011101100110010
3101100011010122121120
43232233323230302
531200404331311
61501244403110
7201155360034
oct35657735462
911304118546
104005542706
11177602a580
12939546496
134bab12519
1429dd97c54
151869bc706
hexeebfbb32

4005542706 has 64 divisors (see below), whose sum is σ = 8869271040. Its totient is φ = 1195896960.

The previous prime is 4005542701. The next prime is 4005542719. The reversal of 4005542706 is 6072455004.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (4005542701) 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, 1255245 + ... + 1258431.

It is an arithmetic number, because the mean of its divisors is an integer number (138582360).

Almost surely, 24005542706 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4005542706, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4434635520).

4005542706 is an abundant number, since it is smaller than the sum of its proper divisors (4863728334).

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

4005542706 is a wasteful number, since it uses less digits than its factorization.

4005542706 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3479.

The product of its (nonzero) digits is 33600, while the sum is 33.

The square root of 4005542706 is about 63289.3569725590. The cubic root of 4005542706 is about 1588.1339216768.

The spelling of 4005542706 in words is "four billion, five million, five hundred forty-two thousand, seven hundred six".

Divisors: 1 2 3 6 11 22 33 66 137 139 274 278 411 417 822 834 1507 1529 3014 3058 3187 4521 4587 6374 9042 9174 9561 19043 19122 35057 38086 57129 70114 105171 114258 209473 210342 418946 436619 442993 628419 873238 885986 1256838 1309857 1328979 2619714 2657958 4802809 4872923 9605618 9745846 14408427 14618769 28816854 29237538 60690041 121380082 182070123 364140246 667590451 1335180902 2002771353 4005542706