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283996672 = 291573533
BaseRepresentation
bin10000111011010…
…111001000000000
3201210101112012021
4100323113020000
51040200343142
644103011224
710015634431
oct2073271000
9653345167
10283996672
111363439a3
127b139b14
1346ab688b
1429a09488
1519dec267
hex10ed7200

283996672 has 40 divisors (see below), whose sum is σ = 571214556. Its totient is φ = 141053952.

The previous prime is 283996651. The next prime is 283996703. The reversal of 283996672 is 276699382.

It can be written as a sum of positive squares in 2 ways, for example, as 282777856 + 1218816 = 16816^2 + 1104^2 .

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 3 ways as a sum of consecutive naturals, for example, 78618 + ... + 82150.

Almost surely, 2283996672 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 283996672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285607278).

283996672 is an abundant number, since it is smaller than the sum of its proper divisors (287217884).

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

283996672 is an equidigital number, since it uses as much as digits as its factorization.

283996672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3708 (or 3692 counting only the distinct ones).

The product of its digits is 1959552, while the sum is 52.

The square root of 283996672 is about 16852.2008058295. The cubic root of 283996672 is about 657.3112775984.

The spelling of 283996672 in words is "two hundred eighty-three million, nine hundred ninety-six thousand, six hundred seventy-two".

Divisors: 1 2 4 8 16 32 64 128 157 256 314 512 628 1256 2512 3533 5024 7066 10048 14132 20096 28264 40192 56528 80384 113056 226112 452224 554681 904448 1109362 1808896 2218724 4437448 8874896 17749792 35499584 70999168 141998336 283996672