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406038768 = 2438459141
BaseRepresentation
bin11000001100111…
…010100011110000
31001022000220110220
4120030322203300
51312421220033
6104142453040
713030162332
oct3014724360
91038026426
10406038768
1119921aa33
12b3b94180
1366177135
143bcd7452
15259a7bb3
hex1833a8f0

406038768 has 20 divisors (see below), whose sum is σ = 1048933608. Its totient is φ = 135346240.

The previous prime is 406038709. The next prime is 406038769. The reversal of 406038768 is 867830604.

It is a super-2 number, since 2×4060387682 = 329734962237915648, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (406038769) 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 3 ways as a sum of consecutive naturals, for example, 4229523 + ... + 4229618.

Almost surely, 2406038768 is an apocalyptic number.

406038768 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

406038768 is an abundant number, since it is smaller than the sum of its proper divisors (642894840).

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

406038768 is a wasteful number, since it uses less digits than its factorization.

406038768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8459152 (or 8459146 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 42.

The square root of 406038768 is about 20150.4036684132. The cubic root of 406038768 is about 740.4956309564.

The spelling of 406038768 in words is "four hundred six million, thirty-eight thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 48 8459141 16918282 25377423 33836564 50754846 67673128 101509692 135346256 203019384 406038768