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289738656 = 25321006037
BaseRepresentation
bin10001010001010…
…000111110100000
3202012012020201100
4101101100332200
51043133114111
644430034400
710115511054
oct2121207640
9665166640
10289738656
11139605a39
1281048a00
13480472bc
142a6a1c64
151a683756
hex11450fa0

289738656 has 36 divisors (see below), whose sum is σ = 823945122. Its totient is φ = 96579456.

The previous prime is 289738643. The next prime is 289738661. The reversal of 289738656 is 656837982.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 280227600 + 9511056 = 16740^2 + 3084^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is an unprimeable number.

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 in 5 ways as a sum of consecutive naturals, for example, 502731 + ... + 503306.

Almost surely, 2289738656 is an apocalyptic number.

It is an amenable number.

289738656 is an abundant number, since it is smaller than the sum of its proper divisors (534206466).

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

289738656 is a wasteful number, since it uses less digits than its factorization.

289738656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1006053 (or 1006042 counting only the distinct ones).

The product of its digits is 4354560, while the sum is 54.

The square root of 289738656 is about 17021.7113123211. The cubic root of 289738656 is about 661.7117001442.

The spelling of 289738656 in words is "two hundred eighty-nine million, seven hundred thirty-eight thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 1006037 2012074 3018111 4024148 6036222 8048296 9054333 12072444 16096592 18108666 24144888 32193184 36217332 48289776 72434664 96579552 144869328 289738656