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406752242 = 213210972
BaseRepresentation
bin11000001111101…
…000101111110010
31001100101011011212
4120033220233302
51313112032432
6104210040122
713036223411
oct3017505762
91040334155
10406752242
11199667a86
12b4279042
1366366b00
143c041478
1525a992b2
hex183e8bf2

406752242 has 18 divisors (see below), whose sum is σ = 661274343. Its totient is φ = 187560672.

The previous prime is 406752239. The next prime is 406752257. The reversal of 406752242 is 242257604.

It can be written as a sum of positive squares in 5 ways, for example, as 11895601 + 394856641 = 3449^2 + 19871^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=14261.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 406752199 and 406752208.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 370238 + ... + 371334.

Almost surely, 2406752242 is an apocalyptic number.

406752242 is a deficient number, since it is larger than the sum of its proper divisors (254522101).

406752242 is an equidigital number, since it uses as much as digits as its factorization.

406752242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2222 (or 1112 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 32.

The square root of 406752242 is about 20168.0996130027. The cubic root of 406752242 is about 740.9290996080.

Multiplying 406752242 by its sum of digits (32), we get a square (13016071744 = 1140882).

The spelling of 406752242 in words is "four hundred six million, seven hundred fifty-two thousand, two hundred forty-two".

Divisors: 1 2 13 26 169 338 1097 2194 14261 28522 185393 370786 1203409 2406818 15644317 31288634 203376121 406752242