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406029041 = 11311190701
BaseRepresentation
bin11000001100111…
…000001011110001
31001022000102010122
4120030320023301
51312420412131
6104142340025
713030122065
oct3014701361
91038012118
10406029041
111992136a0
12b3b8a615
1366172892
143bcd3aa5
15259a4d7b
hex183382f1

406029041 has 8 divisors (see below), whose sum is σ = 457229568. Its totient is φ = 357210000.

The previous prime is 406028963. The next prime is 406029047. The reversal of 406029041 is 140920604.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-406029041 is a prime.

It is a super-3 number, since 3×4060290413 (a number of 27 digits) contains 333 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 406029041.

It is not an unprimeable number, because it can be changed into a prime (406029047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 595010 + ... + 595691.

It is an arithmetic number, because the mean of its divisors is an integer number (57153696).

Almost surely, 2406029041 is an apocalyptic number.

It is an amenable number.

406029041 is a deficient number, since it is larger than the sum of its proper divisors (51200527).

406029041 is a wasteful number, since it uses less digits than its factorization.

406029041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1190743.

The product of its (nonzero) digits is 1728, while the sum is 26.

The square root of 406029041 is about 20150.1623070386. The cubic root of 406029041 is about 740.4897178441.

Adding to 406029041 its reverse (140920604), we get a palindrome (546949645).

The spelling of 406029041 in words is "four hundred six million, twenty-nine thousand, forty-one".

Divisors: 1 11 31 341 1190701 13097711 36911731 406029041