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406646646 = 23773132631
BaseRepresentation
bin11000001111001…
…110111101110110
31001100011210022220
4120033032331312
51313100143041
6104203503210
713035303510
oct3017167566
91040153286
10406646646
111995a570a
12b4227b06
136632aa23
143c014bb0
1525a77d66
hex183cef76

406646646 has 32 divisors (see below), whose sum is σ = 942217728. Its totient is φ = 114592320.

The previous prime is 406646641. The next prime is 406646689. The reversal of 406646646 is 646646604.

It is a super-2 number, since 2×4066466462 = 330722989406098632, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 406646598 and 406646607.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (406646641) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 63250 + ... + 69381.

It is an arithmetic number, because the mean of its divisors is an integer number (29444304).

Almost surely, 2406646646 is an apocalyptic number.

406646646 is an abundant number, since it is smaller than the sum of its proper divisors (535571082).

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

406646646 is a wasteful number, since it uses less digits than its factorization.

406646646 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132716.

The product of its (nonzero) digits is 497664, while the sum is 42.

The square root of 406646646 is about 20165.4815464447. The cubic root of 406646646 is about 740.8649771009.

Subtracting from 406646646 its sum of digits (42), we obtain a palindrome (406646604).

The spelling of 406646646 in words is "four hundred six million, six hundred forty-six thousand, six hundred forty-six".

Divisors: 1 2 3 6 7 14 21 42 73 146 219 438 511 1022 1533 3066 132631 265262 397893 795786 928417 1856834 2785251 5570502 9682063 19364126 29046189 58092378 67774441 135548882 203323323 406646646