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427594144 = 2523357349
BaseRepresentation
bin11001011111001…
…001000110100000
31002210121000220011
4121133021012200
51333431003034
6110232454304
713411330105
oct3137110640
91083530804
10427594144
111aa40289a
12bb24a394
136a7834b3
1440b08aac
1527814864
hex197c91a0

427594144 has 24 divisors (see below), whose sum is σ = 845453700. Its totient is φ = 212875776.

The previous prime is 427594133. The next prime is 427594159. The reversal of 427594144 is 441495724.

It can be written as a sum of positive squares in 2 ways, for example, as 421891600 + 5702544 = 20540^2 + 2388^2 .

It is a junction number, because it is equal to n+sod(n) for n = 427594097 and 427594106.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 21219 + ... + 36130.

Almost surely, 2427594144 is an apocalyptic number.

It is an amenable number.

427594144 is a deficient number, since it is larger than the sum of its proper divisors (417859556).

427594144 is a wasteful number, since it uses less digits than its factorization.

427594144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57592 (or 57584 counting only the distinct ones).

The product of its digits is 161280, while the sum is 40.

The square root of 427594144 is about 20678.3496440117. The cubic root of 427594144 is about 753.3739218131.

The spelling of 427594144 in words is "four hundred twenty-seven million, five hundred ninety-four thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 32 233 466 932 1864 3728 7456 57349 114698 229396 458792 917584 1835168 13362317 26724634 53449268 106898536 213797072 427594144