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416428544 = 297116191
BaseRepresentation
bin11000110100100…
…011001000000000
31002000120202120102
4120310203020000
51323101203134
6105153301532
713214404250
oct3064431000
91060522512
10416428544
111a4076a24
12b75648a8
136837422c
143d43d960
152685b37e
hex18d23200

416428544 has 40 divisors (see below), whose sum is σ = 950915328. Its totient is φ = 178467840.

The previous prime is 416428531. The next prime is 416428553. The reversal of 416428544 is 445824614.

It is a junction number, because it is equal to n+sod(n) for n = 416428498 and 416428507.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 54512 + ... + 61679.

Almost surely, 2416428544 is an apocalyptic number.

It is an amenable number.

416428544 is an abundant number, since it is smaller than the sum of its proper divisors (534486784).

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

416428544 is an equidigital number, since it uses as much as digits as its factorization.

416428544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116216 (or 116200 counting only the distinct ones).

The product of its digits is 122880, while the sum is 38.

The square root of 416428544 is about 20406.5808993079. The cubic root of 416428544 is about 746.7584807731.

The spelling of 416428544 in words is "four hundred sixteen million, four hundred twenty-eight thousand, five hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 256 448 512 896 1792 3584 116191 232382 464764 813337 929528 1626674 1859056 3253348 3718112 6506696 7436224 13013392 14872448 26026784 29744896 52053568 59489792 104107136 208214272 416428544