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406031427 = 3397229677
BaseRepresentation
bin11000001100111…
…000110001000011
31001022000112102000
4120030320301003
51312421001202
6104142355043
713030132044
oct3014706103
91038015360
10406031427
1119921546a
12b3b8ba83
13661739a9
143bcd48cb
15259a591c
hex18338c43

406031427 has 32 divisors (see below), whose sum is σ = 611284800. Its totient is φ = 266333184.

The previous prime is 406031419. The next prime is 406031453. The reversal of 406031427 is 724130604.

406031427 is a `hidden beast` number, since 40 + 603 + 14 + 2 + 7 = 666.

It is not a de Polignac number, because 406031427 - 23 = 406031419 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 406031427.

It is not an unprimeable number, because it can be changed into a prime (406031467) 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, 599413 + ... + 600089.

It is an arithmetic number, because the mean of its divisors is an integer number (19102650).

Almost surely, 2406031427 is an apocalyptic number.

406031427 is a deficient number, since it is larger than the sum of its proper divisors (205253373).

406031427 is a wasteful number, since it uses less digits than its factorization.

406031427 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1012 (or 1006 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 406031427 is about 20150.2215124301. The cubic root of 406031427 is about 740.4911683191.

The spelling of 406031427 in words is "four hundred six million, thirty-one thousand, four hundred twenty-seven".

Divisors: 1 3 9 27 97 229 291 677 687 873 2031 2061 2619 6093 6183 18279 22213 65669 66639 155033 197007 199917 465099 591021 599751 1395297 1773063 4185891 15038201 45114603 135343809 406031427