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283985640 = 23325788849
BaseRepresentation
bin10000111011010…
…100011011101000
3201210100222001200
4100323110123220
51040200020030
644102444200
710015560321
oct2073243350
9653328050
10283985640
11136336684
127b133660
1346ab1853
1429a05448
1519de8d60
hex10ed46e8

283985640 has 48 divisors (see below), whose sum is σ = 922954500. Its totient is φ = 75729408.

The previous prime is 283985633. The next prime is 283985641. The reversal of 283985640 is 46589382.

283985640 is a `hidden beast` number, since 2 + 83 + 9 + 8 + 564 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 278022276 + 5963364 = 16674^2 + 2442^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (283985641) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 394065 + ... + 394784.

Almost surely, 2283985640 is an apocalyptic number.

283985640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

283985640 is an abundant number, since it is smaller than the sum of its proper divisors (638968860).

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

283985640 is a wasteful number, since it uses less digits than its factorization.

283985640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 788866 (or 788859 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 283985640 is about 16851.8734863516. The cubic root of 283985640 is about 657.3027662875.

The spelling of 283985640 in words is "two hundred eighty-three million, nine hundred eighty-five thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 788849 1577698 2366547 3155396 3944245 4733094 6310792 7099641 7888490 9466188 11832735 14199282 15776980 18932376 23665470 28398564 31553960 35498205 47330940 56797128 70996410 94661880 141992820 283985640