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282990864 = 243131923869
BaseRepresentation
bin10000110111100…
…001100100010000
3201201111102111010
4100313201210100
51034421201424
644025250520
710004245152
oct2067414420
9651442433
10282990864
11135817252
127a933a40
1346823b20
1429826ad2
1519c9e229
hex10de1910

282990864 has 80 divisors (see below), whose sum is σ = 828766400. Its totient is φ = 82487808.

The previous prime is 282990853. The next prime is 282990871. The reversal of 282990864 is 468099282.

It is a Harshad number since it is a multiple of its sum of digits (48).

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 15 ways as a sum of consecutive naturals, for example, 79 + ... + 23790.

It is an arithmetic number, because the mean of its divisors is an integer number (10359580).

Almost surely, 2282990864 is an apocalyptic number.

282990864 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 282990864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (414383200).

282990864 is an abundant number, since it is smaller than the sum of its proper divisors (545775536).

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

282990864 is a wasteful number, since it uses less digits than its factorization.

282990864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23912 (or 23906 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 48.

The square root of 282990864 is about 16822.3322996545. The cubic root of 282990864 is about 656.5343776849.

The spelling of 282990864 in words is "two hundred eighty-two million, nine hundred ninety thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 13 16 19 24 26 38 39 48 52 57 76 78 104 114 152 156 208 228 247 304 312 456 494 624 741 912 988 1482 1976 2964 3952 5928 11856 23869 47738 71607 95476 143214 190952 286428 310297 381904 453511 572856 620594 907022 930891 1145712 1241188 1360533 1814044 1861782 2482376 2721066 3628088 3723564 4964752 5442132 5895643 7256176 7447128 10884264 11791286 14894256 17686929 21768528 23582572 35373858 47165144 70747716 94330288 141495432 282990864