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283968 = 26321729
BaseRepresentation
bin1000101010101000000
3112102112100
41011111000
533041333
610030400
72261616
oct1052500
9472470
10283968
11184393
12118400
139c339
14756b6
1559213
hex45540

283968 has 84 divisors (see below), whose sum is σ = 891540. Its totient is φ = 86016.

The previous prime is 283961. The next prime is 283979. The reversal of 283968 is 869382.

It can be written as a sum of positive squares in 2 ways, for example, as 186624 + 97344 = 432^2 + 312^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

Its product of digits (20736) is a multiple of the sum of its prime factors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (283961) by changing a digit.

283968 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9778 + ... + 9806.

2283968 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 283968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (445770).

283968 is an abundant number, since it is smaller than the sum of its proper divisors (607572).

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

283968 is a wasteful number, since it uses less digits than its factorization.

283968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64 (or 51 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 283968 is about 532.8864794682. The cubic root of 283968 is about 65.7289156373.

Adding to 283968 its product of digits (20736), we get a square (304704 = 5522).

The spelling of 283968 in words is "two hundred eighty-three thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 29 32 34 36 48 51 58 64 68 72 87 96 102 116 136 144 153 174 192 204 232 261 272 288 306 348 408 464 493 522 544 576 612 696 816 928 986 1044 1088 1224 1392 1479 1632 1856 1972 2088 2448 2784 2958 3264 3944 4176 4437 4896 5568 5916 7888 8352 8874 9792 11832 15776 16704 17748 23664 31552 35496 47328 70992 94656 141984 283968