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406542464 = 273176113
BaseRepresentation
bin11000001110110…
…101100010000000
31001022222111102022
4120032311202000
51313033324324
6104201341012
713034360666
oct3016654200
91038874368
10406542464
11199534409
12b4197768
13662c2493
143bdc8c36
1525a5705e
hex183b5880

406542464 has 16 divisors (see below), whose sum is σ = 809909070. Its totient is φ = 203271168.

The previous prime is 406542427. The next prime is 406542467. The reversal of 406542464 is 464245604.

It can be written as a sum of positive squares in only one way, i.e., 255744064 + 150798400 = 15992^2 + 12280^2 .

It is a tau number, because it is divible by the number of its divisors (16).

It is not an unprimeable number, because it can be changed into a prime (406542467) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1587929 + ... + 1588184.

Almost surely, 2406542464 is an apocalyptic number.

It is an amenable number.

406542464 is a deficient number, since it is larger than the sum of its proper divisors (403366606).

406542464 is an equidigital number, since it uses as much as digits as its factorization.

406542464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3176127 (or 3176115 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 35.

The square root of 406542464 is about 20162.8982043753. The cubic root of 406542464 is about 740.8017023567.

The spelling of 406542464 in words is "four hundred six million, five hundred forty-two thousand, four hundred sixty-four".

Divisors: 1 2 4 8 16 32 64 128 3176113 6352226 12704452 25408904 50817808 101635616 203271232 406542464